Question

Solve the following system of equations. Enter the y-coordinate of the solution. Round your answer to the nearest tenth.

Answer 1

$\sf 5x+2y=21$
$\sf -2x+6y=-34$

We could solve for 'x' in the 2nd equation and then plug that into the first equation for 'x' and solve for 'y':

$\sf -2x+6y=-34$

Subtract 6y to both sides:

$\sf -2x=-6y-34$

Divide -2 to both sides:

$\sf x=3y+17$

Plug in 3y + 17 for 'x' in the first equation:

$\sf 5x+2y=21$

$\sf 5(3y+17)+2y=21$

Distribute 5:

$\sf 15y+85+2y=21$

Combine like terms:

$\sf 17y+85=21$

Subtract 85 to both sides:

$\sf 17y=-64$

Divide 17 to both sides:

$\boxed{\sf y\approx -3.8}$

This is the y-coordinate of the solution.

Answer 2

Answer:

-3.8

Step-by-step explanation: