4.01 Solutions to linear systems using a table of values
Interactive practice questions
We are going to determine whether the point $\left(5,2\right)$(5,2) is a solution of the system of equations:
$x+y=7$x+y=7
$x-y=3$x−y=3
Using the first equation, $x+y=7$x+y=7, find the value of $y$y when $x=5$x=5.
Now using the second equation, $x-y=3$x−y=3, find the value of $y$y when $x=5$x=5.
Is $\left(5,2\right)$(5,2) a solution of the system?
Yes
No
We are going to determine whether the point $\left(4,17\right)$(4,17) is a solution of the system of equations:
$y=6x-7$y=6x−7
$4x+3y=67$4x+3y=67
We are going to determine whether the point $\left(4,-3\right)$(4,−3) is a solution of the system of equations:
$2x+7y=-13$2x+7y=−13
$3x+8y=-4$3x+8y=−4
We are going to determine whether the point $\left(2,-2\right)$(2,−2) is a solution of the system of equations:
$2x+3y=-2$2x+3y=−2
$4x+3y=5$4x+3y=5