josephakuhns
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Choose the graph that matches the following system of equations: x − 3y = −12 2x − y = 1
picture of coordinate plane with line y equals negative one third x minus 4 and line y equals 2x plus 1. They intersect at negative 2.14, negative 3.29 picture of coordinate plane with line y equals negative x plus 4 and line y equals 2x minus 1. They intersect at 1.67, 2.33 picture of coordinate plane with line y equals one third x minus 12 and line y equals negative 2x minus 1. They intersect at 4.71, negative 10.43 picture of coordinate plane with line y equals 1 third x plus 4 and line y equals 2x minus 1. They intersect at 3, 5

Respuesta :

tonb
Let's rewrite these equations in y=... form.

x-3y=-12
-3y=-12-x
y=4+1/3x
y=1/3x+4

2x-y=1
-y=1-2x
y=2x-1

If you equal them to eachother (which eliminates the y) you get:

1/3x+4 = 2x-1
5 = 5/3 x
x = 3
and y=5, so intersection at (3,5)

This answer is the last one of the textual answers in the question.

abidemiokin

The first line has a slope of 1/3 and intercept of 4 and the second line has a slope of 2 and intercept of -1

Equation of a line graph

The standard equation of a line is expressed as Ax + By. = C

Given the following equations

x − 3y = −12

2x − y = 1

Write in slope-intercept form to have:

-3y = -x - 12

y = 1/3x + 4

The first line has a slope of 1/3 and intercept of 4

For the equation 2x - y = 1

y =2x - 1

The second line has a slope of 2 and intercept of -1

Learn more on equation of a line here: https://brainly.com/question/13763238

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