Question

Solve the system of equations by the substitution method. 4x+3y= 45

x= 4y-3
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The solution is (Simplify your answer. Type an ordered pair.)
OB. There are infinitely many solutions.
O C. There is no solution.

Answer 1

y=3, x=9

Explanation:

The system of equations already gives us the value of x. So, to solve using the substitution method simply plug in 4y-3 into the first equation for x. This gives the new equation of 4(4y-3)+3y=45. Then, solve for y.

• 16y-12+3y=45
• 19y-12=45
• 19y=57
• y=3

Finally, plug in 3 for y in the second equation to find the value of x. 4(3)-3=9. Therefore, the answers are y=3, x=9.