Question

Solve the system of linear equations below y=-2x+19 y=x+7

Answer 1

A) y=-2x+19
B) y=x+7 Multiplying B) by -1
B) -y = -x -7 then adding it to A)
A) y = -2x + 19
3x = 12
x = 4
y = 11

Answer 2

Answer with Step-by-step explanation:

We are given a system of linear equations:

y= -2x+19

y=x+7

On equating the above system, we get

-2x+19=x+7

-2x-x= 7-19

-3x = -12

On dividing by -3 on both sides, we get

x=4

Putting x=4 in y=x+7, we get

y= 4+7

y= 11

Hence, Solution of the system of linear equation y= -2x+19 y=x+7 is:

x=4 and y=11