solve the system of equation 2x-9y=14 x=-6y+7

You know the value of x: -6y +7
So you can replace the x in the first equation:
2*(-6y+7)-9y = 14
distributive law
-12y+14-9y = 14
-21y+14=14
-14
-21y = 0
:(-21)
y = 0
Now you replace the y in the seccond equation with 0
x = -6*0+7
x = 7

ANSWER: x is 7 and y is 0

Answer Link

ap8997154 ap8997154 · Answer 2 · 2022-01-22T12:38:31+01:00

To solve such problems we must know about the system of equations.

The system of the equation will give a unique solution at point (7, 0).

Given to us

2x - 9y = 14
x= - 6y + 7

Solution

Equation 1

2x-9y=14

as the value of x is already given in equation2, therefore, substituting the value of x in equation 1, we get,

[tex]2(6y+7)-9y=14[/tex]

[tex]-12y+14-9y=14\\ -12y-9y =14-14\\ -21y = 0\\ y =0[/tex]

Equation 2

[tex]x= - 6y + 7[/tex]

Substituting the value of y,

[tex]x= - 6(0) + 7\\ x= 7[/tex]

Verification

The system will give a unique solution at points x=7, and y=0, this can be verified by plotting the two equations on the graph.

Hence, the system of the equation will give a unique solution at point (7, 0).

Learn more about the system of equation:

https://brainly.com/question/12895249