Question

Solve the system of equations.

Answer 1

Answer:

x = 7

y =  0

Step-by-step explanation:

Substituting x = - 6y + 7 in 2x - 9y = 14, we get:

= 2(- 6y + 7) - 9y = 14

= - 12y + 14 - 9y = 14

= - 21y = 14 - 14

= y = 0

Putting y = 0 in x = - 6y + 7, we get:

= x = - 6 * (0) + 7

x = 7

Hope this helps!

Answer 2

Step-by-step explanation:

Step 1:  Substitute x from the second equation into the second one

$2x - 9y = 14$

$2(-6y + 7) - 9y = 14$

$(2 * -6y) + (2 * 7) - 9y = 14$

$-12y + 14 - 9y = 14$

$-21y +14 - 14 = 14 - 14$

$-21y/-21 = 0 / -21$

$y = 0$

Step 2:  Substitute y into the second equation

$x = -6y + 7$

$x = -6(0) + 7$

$x = 0 + 7$

$x = 7$

Answer:  $x = 7, y = 0$