# How do you solve the following system: #8x-3y=3, 4x + 2y = 10 #?

##### 2 Answers

#### Answer:

#### Explanation:

Given:

[1]

[2]

If we note that the

we have an easy way to eliminate the

Multiply [2] by

[1]

-[2]

[3]

Dividing both sides by

[4]

Substituting

[5]

[6]

[7]

#### Answer:

#### Explanation:

Solve by elimination and substitution

#color(blue)(8x-3y=3#

#color(blue)(4x+2y=10#

We can eliminate

Use distributive property:

#color(brown)(a(b+c)=ab+ac#

#color(brown)(a(b+c=x)=ab+ac=ax#

Add both of the equations

Substitute the value of