Answer:
1. (5/4, 1)
2. (-2, 6)
Explanation:
Question #1.
4x + 3y = 8
4x + 5y = 10
Multiply the second equation by -1 to eliminate x.
4x + 3y = 8
-1(4x + 5y = 10) = -4x - 5y = -10
4x + 3y = 8
-4x - 5y = -10
-2y = -2
Divide both sides by -2.
y = 1
Substitute y = 1 into the equation.
4x + 3y = 8
4x + 3(1) = 8
4x + 3 = 8
Subtract 3 from both sides.
4x = 5
Divide both sides by 4.
x = 5/4
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Question #2.
3x + 6y = 30
4x + 2y = 4
Multiply the second equation by -3 to eliminate y.
3x + 6y = 30
-3(4x + 2y = 4) = -12x - 6y = -12
3x + 6y = 30
-12x - 6y = -12
-9x = 18
Divide both sides by -9.
x = -2
Substitute x = -2 into the equation to find y.
3x + 6y = 30
3(-2) + 6y = 30
-6 + 6y = 30
Add 6 to both sides.
6y = 36
Divide both sides by 6 to isolate y.
y = 6