Question

Theo solved the following problem correctly for homework. 2 x y = 7. Negative 3 x y = 2. What is the y-coordinate of his solution? y = negative 3 y = negative 1 y = 1 y = 5.

Answer 1

To solve the problem we must know about the system of equations.

System of equation

Inconsistent System

A system of equations to have no real solution, the lines of the equations must be parallel to each other.

Consistent System

1. Dependent Consistent System

A system of the equation to be Dependent Consistent System the system must have multiple solutions for which the lines of the equation must be coinciding.

2. Independent Consistent System

A system of the equation to be Independent Consistent System the system must have one unique solution for which the lines of the equation must intersect at a particular.

The coordinate for the solution to this system of equation is (1,5).

Give to us

Theo's homework

1. 2x+y=7
2. -3x+y=2

For equation1,

• 2x+y=7

solving for y,

$2x+y=7\\\\y = 7-2x$

For equation2,

• -3x+y=2

Substitute the value of y,

$-3x+y=2\\\\-3x+(7 -2x)=2\\\\-3x+7-2x=2\\\\-5x+7 =2\\\\-5x=2-7\\\\-5x=-5\\\\x=\dfrac{-5}{-5}\\\\x= 1$

Substitute the value of x in the equation of y,

$y=7-2x\\\\y=7-2(1)\\\\y=7-2\\\\y=5$

Hence, the coordinate for the solution to this system of equation is (1,5).

Learn more about System of Equation:

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Answer 2

Answer:

the answer is (d)y=5

Step-by-step explanation:

i hope you pass your test