Question

Solve the system of equations 2y - 3x = -27 5y + 3x = 6 PLEASE EXPLAIN STEPS! (photo included)

Answer 1

Answer:

x=7   y= -3

Step-by-step explanation:

When you ADD both the x variable is cancelled

since -3x + 3x = zero

then you solve for y  And when you plug the value of y you will solve x

     2y-3x =-27

     5y+3x =6

   ADD BOTH

    7y = -21

    y = -3

     PLUG y

5(-3)+3x  = 6

 -15 + 3x = 6

     3x = 21

      x=7

Answer 2

Answer:

(7, -3)

Step-by-step explanation:

Add the two equations to eliminate x:

7y = -21

Then solve 7y = −21 for y:

$\frac{7y}{7}$ = $\frac{-21}{7}$(Divide both sides by 7)

y = -3

Now that we've found y let's plug it back in to solve for x.

Write down an original equation:

2y - 3x = -27

Substitute -3 for y in 3y - 3x = -27:

(2)(-3) - 3x = -27

-3x - 6 = -27 (Simplify both sides of the equation)

-3x - 6x + 6x = -27 + 6 (Add 6 to both sides)

-3x = -21

$\frac{-3x}{-3}$ = $\frac{-21}{-3}$ (Divide both sides by -3)

x = 7