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 4. Substitute y into either original equation: x + 3(3) = 7 5. Write the solution as an ordered pair: (x, y) = (-2, 3)
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To do this, we start with the equation x + 3y = 7 and solve for x. This gives us x = 7 - 3y. Show more…
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