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Abby Murray
Mathematics
20 January, 21:43
X+2y=7
3x-2y=-3 solving systems by substitution
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Lola
20 January, 22:00
0
Move 2y to the right hand side of the equation by subtracting 2y from both sides.
x=-2y+7
3x-2y=-3
Replace all occurrences of x with the solution found by solving the last equation for x. In this case, the value substituted is - 2y+7.
x=-2y+7
3 (-2y+7) - 2y=-3
Simplify each term.
x=-2y+7
-6y+21-2y=-3
Add - 6y and - 2y to get - 8y.
x=-2y+7
-8y+21=-3
Move 21 to the right hand side of the equation.
x=-2y+7
-8y=-21-3
Subtract 3 from - 21 to get - 24.
x=-2y+7
-8y=-24
Divide each term in the equation by - 8.
x=-2y+7
y=3
Replace all occurrences of y with the solution found by solving the last equation for y. In this case, the value substituted is 3.
x=-2 (3) + 7
y=3
Multiply - 2 by 3 to get - 6.
x=-6+7
y = 3
Add - 6 and 7 to get 1.
x=1
y=3
(1,3)
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