You can put this solution on YOUR website! Solve for one value in the first equation and then substitute this value in the second equation. Then enter the answer to the orginal equation.
#1. y = 6 - x
2x - 3y = 22
2x - 3(6-x) = 22
2x - 18 - 3x = 22
2x - 18 + 18 - 3x = 22 + 18
2x - 3x = 40
-1x = 40
-1x/-1 = 40/- 1
x = -40
y = 6 - 40
y = -34
Check: enter in the x and y values into the orginal equation:
-34 = 6 -40
-34 = -34
#2. x + 2y = 5
x + y = 2: x - x + y = 2 - x; y = 2 - x (rewrite equation)
(fill in the y = 2 - x into the first equation)
x + 2(2 - x) = 5
x + 4 - 2x = 5
x + 4 - 4 - 2x = 5 - 4
x - 2x = 1
-x = 1
x = -1
x + y = 2
-1 + y = 2
-1 + 1 + y = 2 + 1
y = 3
Check:
-1 + 2(3) = 5
-1 + 6 = 5
5 = 5
#3. x + y = 31
x - y = 17
x = 31 - y
31 - y - y = 17
31 - 31 - 2y = 17 - 31
-2y = -14
-2y/-2 = -14/-2
y = 7
x + y = 31
x + 7 = 31
x + 7 - 7 = 31 - 7
x = 24
Check:
24 + 7 = 31
31 = 31
#4. 7x + y = 10: y = -7x + 10
2y + 5x = 11
2(-7x + 10) + 5x = 11
-14x + 20 + 5x = 11
-14x + 20 - 20 + 5x = 11 - 20
-14x + 5x = -9
-9x = -9
-9x/-9 = -9/-9
x = -1
7x + y = 10
7(-1) + y = 10
-7 + y = 1
7 - 7 + y = 10 - 7
y = -3
Check:
2(-3) + 5(-1) = 11
-6 + -5 = 11
Check:
7(1) + -6 = 10
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