Question

2x+3y=4
X-y+3=0
Solve substitution method ​

Answer 1

2x+3y=4 --------(1)

x-y+3=0 ----------(2)

==> x = y-3 ---------(3)

Substitute (3) in (1),

2x+3y=4

2(y-3)+3y=4

2y-6+3y=4

2y+3y=6+4

5y=10

y = 2

Now, substitute value of y in (3)

x = y-3

= 2-3

= -1

Hence x = -1, y = 2

Answer 2

Answer:

Learning Objective(s)

· Solve a system of equations using the substitution method.

· Recognize systems of equations that have no solution or an infinite number of solutions.

· Solve application problems using the substitution method.

Introduction

A graph can be used to show the solution for a system of two linear equations. However, accurately determining the solution from a graph is not always easy or accurate. For example, where do you think the two lines shown below intersect?

It looks like they might intersect at (1.8, –0.7)—though this is only an estimate. In cases like this, you can use algebraic methods to find exact answers. One method to look at is called the substitution method. You solve one equation for one variable and then substitute this expression into the other equation.

Using Substitution to Solve a System of Equations

In the substitution method you solve for one variable, and then substitute that expression into the other equation. The important thing here is that you are always substituting values that are equivalent.