Questions: Solve the following system of linear equations by graphing: -5/3 x + 1/2 y = 7/5 -20/3 x + 2 y = 1

Solve the following system of linear equations by graphing: -5/3 x + 1/2 y = 7/5 -20/3 x + 2 y = 1
Transcript text: Solve the following system of linear equations by graphing: \[ \begin{array}{r} -\frac{5}{3} x+\frac{1}{2} y=\frac{7}{5} \\ -\frac{20}{3} x+2 y=1 \end{array} \]
failed

Solution

failed
failed

Solution Steps

Step 1: Convert the first equation to slope-intercept form

Given the equation: \[ -\frac{5}{3} x + \frac{1}{2} y = \frac{7}{5} \] First, isolate \( y \): \[ \frac{1}{2} y = \frac{5}{3} x + \frac{7}{5} \] Multiply both sides by 2: \[ y = \frac{10}{3} x + \frac{14}{5} \]

Step 2: Convert the second equation to slope-intercept form

Given the equation: \[ -\frac{20}{3} x + 2 y = 1 \] First, isolate \( y \): \[ 2 y = \frac{20}{3} x + 1 \] Divide both sides by 2: \[ y = \frac{10}{3} x + \frac{1}{2} \]

Final Answer

The equations in slope-intercept form are: \[ y = \frac{10}{3} x + \frac{14}{5} \] \[ y = \frac{10}{3} x + \frac{1}{2} \]

{"axisType": 3, "coordSystem": {"xmin": -10, "xmax": 10, "ymin": -10, "ymax": 10}, "commands": ["y = (10/3)x + (14/5)", "y = (10/3)x + (1/2)"], "latex_expressions": ["$y = \\frac{10}{3}x + \\frac{14}{5}$", "$y = \\frac{10}{3}x + \\frac{1}{2}$"]}

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
Which is not a type of anxiety disorder? A) Obsessive-compulsive disorder B) Post traumatic stress disorder C) Panic disorder D) Bipolar disorder
failedAnswered
Mass, and Volume are both good examples of intensive properties (a property that does not depend on the quantity of matter)
failedAnswered
22.core.learn.edgenuity.com Sugar Changed the World, Part 4: Building Claims Assignment Active Analyzing Historical Details to Support a Claim In 1806, the antislavery forces brought a new bill before Parliament that would limit British involvement in the slave trade. Some of the most powerful testimony in favor of the bill came from former army officers who had been to the Caribbean and had seen the courage of the former slaves and the horrors of slavery. The slaves spoke through the testimony of the very men who had gone to fight them. One member of Parliament told his colleagues of the tortures he had seen in the islands. Slavery was not an abstraction, an economic force, a counter in the game of world politics-it was the suffering of men and women Members of Parliament were being confronted with the reality of slavery, just as audiences at Clarkson's lectures were when he showed shackles and whips. While Parliament debated the new bill, Clarkson and his allies went on lecturing, talking, changing minds all across England. They succeeded. Newspapers reported that even in Bristol, a port city with a harbor filled with How does this passage support the claim that the sugar trade led to the end of slavery in some parts of the world? It emphasizes that Parliament was biased toward plantation owners and wrongfully supported them. It shows that the French followed the example of the English in overthrowing the crown to free enslaved people. It describes how testimony on the brutal practices on sugar plantations convinced Parliament to end the slave trade. It demonstrates that neither Britain nor France wanted to make changes in the practice of slavery until America did. Intro Done
failedAnswered
QUESTÃO 01 (1,0): Enuncie uma propriedade característica dos elementos de cada conjunto abaixo: a) A= Argentina, Bolívia, Brasil, Chile, Colômbia, Equador, Guiana, Paraguai, Peru, Suriname, Uruguai, Venezuela b) B= 0,5,10,15,20,25,30,35,40,45,50,55,60,65, ...
failedAnswered
이차함수 (y=x^2+2 x+5) 의 최솟값은?