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2 years ago

Y = 4x – 10 y = 2 What is the solution to the system of equations?

Mathematics

2 answers:

ruslelena [56]2 years ago

7 0

Y=4x-10
y=2
2=4x-10
12=4x
x=3
y=2

Tanya [424]2 years ago

5 0

This is a simple equation! :)

First we know that y = 2 So lets plug that in for y in the equation.

(Remember: our main goal is to get x alone)

2 = 4x - 10 (First add 10 to both sides.)

+10 = +10 ( the right side cancels out, and we solve on the left)

12 = 4x (now divide both sides by 4 to get x to be alone.)

÷ 4 = ÷ 4 (now the right side cancels out and we solve on the left)

3 = x

So our final answer is x = 3

Good Luck! :)

❤️ ❤️ ❤️

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3 years ago

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2 years ago

Explain how you know which method you should use to solve a rational equation.

notsponge [240]

<u>Methods to solve rational equation:</u>

Rational equation:

A rational equation is an equation containing at least one rational expression.

Method 1:

The method for solving rational equations is to rewrite the rational expressions in terms of a common denominator. Then, since we know the numerators are equal, we can solve for the variable.

For example,

$\frac{1}{2}=\frac{x}{2}\Rightarrow x=1$

This can be used for rational equations with polynomials too.

For example,

$\frac{1+x}{x-3}=\frac{4}{x-3}\Rightarrow(1+x)=4 \Rightarrow x=3$

When the terms in a rational equation have unlike denominators, solving the equation will be as follows

$\frac{x+2}{8}=\frac{3}{4}$

$\Rightarrow\frac{x+2}{1}=\frac{3\times8}{4}\Rightarrow{x+2}=2\times3$

$\Rightarrow{x+2}=6\Rightarrow x=6-2\Rightarrow x=4$

Method 2:

Another way of solving the above equation is by finding least common denominator (LCD)

$\frac{x+2}{8}=\frac{3}{4}$

Factors of 4: $1\times2\times2$

Factors of 8: $1\times2\times2\times2$

The LCD of 4 and 8 is 8. So, we have to make the right hand side denominator as 8. This is done by the following step,

$\Rightarrow\frac{x+2}{8}=\frac{3}{4}\times{2}{2}$

we get,

$\Rightarrow\frac{x+2}{8}=\frac{6}{8}$

On cancelling 8 on both sides we get,

$\Rightarrow(x+2)=6\rightarrow x=6-2\rightarrow x=4$

Hence, these are the ways to solve a rational equation.

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