Use the substitution method. Solve for x in the first equation. 5x + 3y = 2 Subtract 3y from both sides. 5x = 2 - 3y Divide both sides by 5. x = 2/5 - 3/5y
Now plug in x into the second equation, 10x + 7y = 5. 10(2/5 - 3/5y) + 7y = 5 Multiply (2/5 - 3/5y) by 10. 4 - 6y + 7y = 5 Combine like terms. 4 + y = 5 Subtract 4 from both sides. y = 1
Now plug y back into the first equation, 5x + 3y = 2. 5x + 3(1) = 2 5x + 3 = 2 Subtract 3 from both sides. 5x = -1 Divide both sides by 5.
