Chapter 4: Systems of Linear Equations

In the following exercises, solve the following systems of equations by graphing

Solve the system of equations by elimination and explain all your steps in words:

$\left\{\begin{array}{l}5x+4y=10\\ 2x=3y+27\end{array}\right.$

1. Solve the system of equations $\left\{\begin{array}{l}x+y=10\\ x-y=6\end{array}\right.$(a) by graphing (b) by substitution (c) Which method do you prefer? Why?

The sum of two number is $15$. One number is $3$less than the other. Find the numbers.

The sum of two number is $30$. One number is $4$less than the other. Find the numbers.

The sum of two number is $-16$. One number is $20$less than the other. Find the numbers.

The sum of two number is

$-26$. One number is $12$less than

the other. Find the numbers.

The sum of two numbers is $65$.

Their difference is $25$. Find the

numbers.

The sum of two numbers is $37$.

Their difference is $9$. Find the

numbers.

The sum of two numbers is

$-27$. Their difference is $-59$.

Find the numbers.