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What is the answer to 2x plus 4y equals -6 and x-3y equals 7 using substitution?
Wiki User
∙ 13y ago
1) 2x + 4y = -6
2) x -3y = 7
We can add 3y to both sides of equation 2) to get
x = 3y + 7
Now we can substitute 3y + 7 for x in equation 1).
In other words, we replace any 'x'es in equation 1) with 3y + 7.
2x is two times x, so this becomes 2(3y + 7) which is two times 3y_and_seven
Equation 1) becomes
2(3y + 7) + 4y = -6
or
6y + 14 + 4y = -6
or
10y + 14 = -6
Subtracting 14 from both sides,
10y = -20
Dividing both sides by 10,
y = -2.
Substituting -2 for y in equation 1),
2x - 8 = -6
Add 8 to both sides
2x = 2
x = 1
Check our results with equation 2
x - 3y = 7
1 + 6 = 7
Wiki User
∙ 13y ago
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