Use the substitution method to solve the system of equations.3x + 4y = 10y = x – 1A.(2, 1)B.(2, 3)C.(3, 2)D.(1, 2)SUBMITarrow_backPREVIOUS
Question
Use the substitution method to solve the system of equations.3x + 4y = 10y = x – 1A.(2, 1)B.(2, 3)C.(3, 2)D.(1, 2)SUBMITarrow_backPREVIOUS
Solution
Step 1: We are given the system of equations:
3x + 4y = 10 y = x - 1
Step 2: Since we are given y in terms of x in the second equation, we can substitute (x - 1) for y in the first equation. This gives us:
3x + 4(x - 1) = 10
Step 3: Simplify the equation:
3x + 4x - 4 = 10 7x - 4 = 10
Step 4: Solve for x:
7x = 14 x = 2
Step 5: Substitute x = 2 into the second equation to solve for y:
y = 2 - 1 y = 1
So, the solution to the system of equations is (2, 1), which corresponds to answer choice A.
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