# What is the solution to a two variable equation?

## What is the solution to a two variable equation?

In general, a solution of a system in two variables is an ordered pair that makes BOTH equations true. In other words, it is where the two graphs intersect, what they have in common. So if an ordered pair is a solution to one equation, but not the other, then it is NOT a solution to the system.

How do you solve two equations using substitution?

To solve systems using substitution, follow this procedure:

1. Select one equation and solve it for one of its variables.
2. In the other equation, substitute for the variable just solved.
3. Solve the new equation.
4. Substitute the value found into any equation involving both variables and solve for the other variable.

How do you solve equations using substitution?

Substitution Method Steps

1. Simplify the given equation by expanding the parenthesis.
2. Solve one of the equations for either x or y.
3. Substitute the step 2 solution in the other equation.
4. Now solve the new equation obtained using elementary arithmetic operations.

### What happens when the terms of a proportion are cross multiplied?

When the terms of a proportion are cross multiplied, the cross products are equal. Cross multiplication is the multiplication of the numerator of the first ratio by the denominator of the second ratio and the multiplication of the denominator of the first ratio by the numerator…

What is the purpose of cross multiplying variables?

The variable is a placeholder for an unknown number or quantity, and cross-multiplying reduces the proportion to one simple equation, allowing you to solve for the variable in question. Cross multiplying is especially useful when you’re trying to solve a ratio.

How do you use cross multiplication in math?

Cross multiplying is especially useful when you’re trying to solve a ratio. Here’s how to do it: Multiply the numerator of the left-hand fraction by the denominator of the right-hand fraction. Let’s say you’re working with the equation 2/x = 10/13. Now, multiply 2 * 13. 2 * 13 = 26.

## How do you cross multiply two fractions with the same variable?

Cross Multiplying with Two of the Same Variable. Multiply the numerator of the left-hand fraction by the denominator of the right-hand fraction. Let’s say you’re working with the following equation: (x + 3)/2 = (x + 1)/4. Multiply (x + 3) by 4 to get 4(x +3).