Examine the system of equations. y = 3 2 x βˆ’ 6, y = βˆ’9 2 x + 21 Use substitution to solve the system of equations. What is the value of y? y =

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Answer:

its 3/4

Step-by-step explanation: i got it right trust me

The solution to the system of equations will be x= 9 / 2 and y= 3 / 4.

What is a system of equations?

A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations or an equation system.

An equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

The given equations are y=(3/ 2 )x-6 and y=(-9/2)x+21 ​to calculate the values of x and y using the substitution method.

Since both equations are equated to y, you just need to use substitution to create the equation below:

(3/ 2 )x-6 =(-9/2)x+21

Solve the equation for x:

(3/ 2 )x + (9/2)x = 27

x = 27 / 6 = 9 / 2

Plug x into any one of the given equations to find the value of y:

y=(3/ 2 )x-6

Solve for the value of y.

y=(3/2) x (9 / 2)-6

y = ( 27 / 4 ) - 6

y = ( 27 - 24 ) / 4

y = 3 / 4

Hence, the solution for the equation will be x = 9 / 2 and y = 3 / 4.

To know more about the system of linear equations follow

brainly.com/question/14323743

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