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3.) Solve the system by addition.
:
x + 2y = 12
4x + 3y = 18
:
Multiply the 1st equation by -4 and add to the second equation:
-4x - 8y = -48
+4x + 3y = 18
-----------------addition will eliminate x, solve for y
0x - 5y = -30
y =
y = +6
:
Use the 1st equation to find x; substitute 6 for y:
x + 2(6) = 12
x + 12 = 12
x = 12 - 12
x = 0
:
Check solutions by substitution in the 2nd equation:
4(0) + 3(6) = 18; confirms our solutions
