Question

Lesson 8: Systems of Equations and Inequalities Unit Test CE 2015

Answer 1

Is this for connections academy 

Answer 2

Answer:

We are asked to find which graph represents the solution of the given system of equations:

$y=-x+2------------(1)$

and $y=3x-1-------------(2)$

We find the intersection point of the two equations by solving these system of equations using elimination method as:

subtract equation (2) from equation (1) to obtain:

$0=-4x+3$

$3=4x$

$x=\dfrac{3}{4}=0.75$

Also putting this value of x in equation (1) we get:

$y=-\dfrac{3}{4}+2\\\\y=\dfrac{-3+4\times 2}{4}\\\\y=\dfrac{-3+8}{4}\\\\y=\dfrac{5}{4}=1.25$

Hence, the intersection point is:  (0.75,1.25).

Hence the graph that represents the solution of the system of given linear equations is attached to the answer.