Solve the system of equations by substitution. 2x + y = 3z x + y = 6z What is the value for y from the first equation, that could be substituted into the second equation?

Question

Mathematics

Annie Castillo

24 August, 03:27

Solve the system of equations by substitution. 2x + y = 3z x + y = 6z What is the value for y from the first equation, that could be substituted into the second equation?

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Answers (1)

Know the Answer?

Kaitlyn Kaiser · Answer 1

y = 3z - 2x

Step-by-step explanation:

Systems of equations can be solved by a number of know techniques, such as substitution, elimination or graphical approach.

We are required to solve the system of equations given via substitution;

2x + y = 3z

x + y = 6z

The question requires us to determine the value for y from the first equation, that could be substituted into the second equation.

We simply need to make y the subject of the formula from the first equation;

2x + y = 3z

To do this we subtract 2x on both sides of the equation;

2x + y - 2x = 3z - 2x

y = 3z - 2x

This is the value of y from the first equation, that can be substituted into the second equation.