-x-+y=1   -3x+y=7 What is the solution  

Answered question

2022-03-01

-x-+y=1 -3x+y=7What is the solution

Answer & Explanation

star233

star233

Skilled2022-03-19Added 403 answers

Write the problem as a mathematical expression.

-x-y=1
3x+y=7

Subtract 3x from both sides of the equation.

y=7-3x

xy=1

Replace all occurrences of y with 7-3x in each equation.

Replace all occurrences of y in -x-y=1 with 7-3x.

-x-(7-3x)=1

y=73x

Simplify the left side.

2x-7=1

y=7-3x

Solve for x in 2x-7=1.

Move all terms not containing xx to the right side of the equation.

2x=8

y=73x

Divide each term in 2x=8 by 2 and simplify.

x=4

y=73x

Replace all occurrences of x with 4 in each equation.

Replace all occurrences of x in y=7-3x with 4.

y=7-34

x=4

Simplify the right side.

y=-5

x=4

The solution to the system is the complete set of ordered pairs that are valid solutions.

(4,5)

The result can be shown in multiple forms.

Point Form:

(4,-5)

Equation Form:

x=4,y=5

 

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