Question

Solve the system
8x – 3y = 30
9x + 4y = 19
What is the y-value?

Answer 1

To solve the given system of equations, we first expressed x in terms of y from the first equation, then substituted this expression into the second equation, and solved for y, finding that y equals -2.

Step-by-step explanation:

To solve the system of equations for y, we will use the substitution or elimination method. First, let's rearrange the first equation to solve for x:

• 8x - 3y = 30
• x = (30 + 3y) / 8

Next, substitute this expression for x into the second equation:

• 9x + 4y = 19
• 9((30 + 3y) / 8) + 4y = 19

After substituting, multiply everything by 8 to get rid of the denominator:

• 9(30 + 3y) + 32y = 152
• 270 + 27y + 32y = 152

Combine like terms:

• 59y + 270 = 152
• 59y = 152 - 270
• 59y = -118

Finally, divide both sides by 59 to find the value of y:

• y = -118 / 59
• y = -2

The value of y is -2.