Instruction
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Determining the Solution
Find the solution to the system of equations, x + 3y = 7 and 2x + 4y = 8.
1. Isolate x in the first equation:
x=7 - 3y
2. Substitute the value for x into the second equation:
2(7 - 3y) + 4y = 8
3. Solve for y
14 - 6y + 4y = 8
14 - 2y = 8
-2y = -6
y=3
x=7-3(3)
4. Substitute y into either original equaton:
5. Write the solution as an ordered pair: