Question

Substitute

-x + 6y =7
6x + 2y =-4
The answer gets (-1,1)
But i need steps how it got that answer :)
Thank you!

Answer 1

`\Large\boxed{\sf{x=-1, y=1}}`

(-1,1)

Explanation:

Isolate the term of x and y from one side of the equation.

-x+6y=7 and 6x+2y=-4

-x+6y=7= x=-7+6y

First, you have to substitute of x=-7+6y.

`\Longrightarrow: \sf{6\left(-7+6y\right)+2y=-4}`

Solve.

Use the distributive property.

Distributive property:

⇒ A(B+C)=AB+AC

⇒ A(B-C)=AB-AC

6(-7+6y)

Multiply expand.

6*-7=-42

6*6y=36y

-42+36y+2=-4

Add.

36y+2=38y

`\Longrightarrow: \sf{-42+38y=-4}}`

First, add by 42 from both sides.

-42+38y+42=-4+42

Solve.

38y=38

Divide by 38 from both sides.

38y/38=38/38

Solve.

38/38=1

y=1

For x=-7+6y

Substitute of y=1.

x=-7+6*1

Use the order of operations.

PEMDAS stands for:

• Parentheses
• Exponents
• Multiply
• Divide
• Add
• Subtract

-7+6*1

Do multiply.

6*1=6

-7+6

Add/subtract the numbers from left to right,

-7+6=-1

x=-1

• Therefore the final answer is x=-1 and y=1.

I hope this helps, let me know if you have any questions.