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8090 [49]
2 years ago
9

X-2y = 10 x + 3y = 5 Using elimination method

Mathematics
1 answer:
MrRa [10]2 years ago
8 0

Answer:

The solution to the system of equations be:

  • (x, y) = (8, -1)

Step-by-step explanation:

Given the system of equations

x-2y = 10

x + 3y = 5

Solving the system of equations using the elimination method

\begin{bmatrix}x-2y=10\\ x+3y=5\end{bmatrix}

subtracting the equations

x+3y=5

-

\underline{x-2y=10}

5y=-5

solving 5y = -5 for y

5y=-5

Divide both sides by 5

\frac{5y}{5}=\frac{-5}{5}

Simplify

y=-1

For x - 2y = 10 plug in y = -1

x-2\left(-1\right)=10

Apply rule  -a(-a) = a

x+2\cdot \:1=10

Multiply the numbers:  2\cdot \:1=2

x+2=10

subtract 2 from both sides

x+2-2=10-2

Simplify

x=8

Therefore, the solution to the system of equations be:

  • (x, y) = (8, -1)

The graph of the solution to the system of equations is also attached below.

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