Use the substitution method to solve the system of equations. Choose the correct ordered pair.2x + y = 10y = x – 5A.(8, –6)B.(9, –8)C.(7, 2)D.(5, 0)SUBMITarrow_backPREVIOUS
Question
Use the substitution method to solve the system of equations. Choose the correct ordered pair.2x + y = 10y = x – 5A.(8, –6)B.(9, –8)C.(7, 2)D.(5, 0)SUBMITarrow_backPREVIOUS
Solution
Step 1: We are given two equations:
2x + y = 10 y = x - 5
Step 2: Since we are given y in terms of x in the second equation, we can substitute (x - 5) for y in the first equation. This gives us:
2x + (x - 5) = 10
Step 3: Simplify the equation:
3x - 5 = 10
Step 4: Add 5 to both sides of the equation to isolate 3x:
3x = 15
Step 5: Divide both sides by 3 to solve for x:
x = 5
Step 6: Substitute x = 5 into the second equation to solve for y:
y = 5 - 5 = 0
So, the solution to the system of equations is (5, 0), which corresponds to answer choice D.
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