Question

517

Problem ID: PRABEEZS
x
X
Solve the system of equations:
y = 4x - 3
y = -2x+9
Write your answer in the following format:
(x,y)
with no spaces
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Answer 1

(2, 5)

Explanation:

Given the systems of equation

y = 4x - 3

y = -2x+9

Since both are y values, we will equate the right hand side of the equations

4x -3 = -2x+9

Collect the like terms

4x+2x = 9+3

6x = 12

x = 12/6

x = 2

Substitute x = 2 into any of the equation.

Using equation1;

y = 4x - 3

y = 4(2) - 3

y = 8 - 3

y = 5

Hence the solution to the system of equation is (2, 5)