Answer
x = 15 and y = 5
Steps Explained:
Use the substitution method to solve:
3x + 4y = 65
Check Format
Equation 2 is in the correct format.
Rearrange Equation 2 to solve for x:
3x + 4y = 65
Subtract 4y from both sides to isolate x:
3x + 4y - 4y = 65 - 4y
3x = 65 - 4y
Now divide by 3:
| 3x | |
| 3 |
| = |
| 65 - 4y |
| 3 |
Plug Revised Equation 2 value into x:
2(x) + y = 35
2 * ((65 - 4y)/3) + y = 35
((130 - 8y)/3) + y = 35
Multiply equation 1 through by 3
3 * (((130 - 8y)/3) + y = 35)
3 * (((130 - 8y)/3) + y = 35)
130 - 8y + 3y = 105
Group like terms:
-8y + 3y = 105 - 130
-5y = -25
Divide each side by -5
| -5y | |
| -5 |
| = |
| -25 |
| -5 |
| y = | -25 |
| -5 |
y = 5
Plug this answer into Equation 1
2x + 1(5) = 35
2x + 5 = 35
2x = 35 - 5
2x = 30
Divide each side by 2
| 2x | |
| 2 |
| = |
| 30 |
| 2 |
| x = | 30 |
| 2 |
x = 15
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