Solve the system of equations using substitution or elimination by addition. x + y = 1.2 0.5x - 0.2y = 0.32...

Question

Solve the system of equations using substitution or elimination by addition.
x + y = 1.2
0.5x - 0.2y = 0.32
Select the correct choice below and, if necessary, fill in the answer box.
A. The solution is (Type an ordered pair).
B. There are infinitely many solutions.
C. There is no solution.

SnapAndSolve AI · Accepted Answer

To solve the system of equations, we can use substitution or elimination. Let's use substitution:

From the first equation, express y in terms of x: y = 1.2 - x.
Substitute y in the second equation: 0.5x - 0.2(1.2 - x) = 0.32.
Simplify: 0.5x - 0.24 + 0.2x = 0.32.
Combine like terms: 0.7x - 0.24 = 0.32.
Add 0.24 to both sides: 0.7x = 0.56.
Divide by 0.7: x = 0.8.
Substitute x back into y = 1.2 - x: y = 1.2 - 0.8 = 0.4.

The solution is (0.8, 0.4).

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Solve the system of equations using substitution or elimination by addition. x + y = 1.2 0.5x - 0.2y = 0.32...

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