1. Modeling with Linear Equations & Inequalities
1.23 Graphical solutions to linear equations or inequalities
Interactive practice questions
Consider the equation $\frac{3x}{5}-1=2$3x5−1=2.
a
Solve for the value of $x$x that satisfies the equation.
b
To verify the solution graphically, which two straight lines would need to be graphed?
$y=\frac{3x}{5}$y=3x5
A
$y=\frac{3x}{5}+1$y=3x5+1
B
$y=2$y=2
C
$y=\frac{3x}{5}-1$y=3x5−1
D
c
Graph the lines $y=\frac{3x}{5}-1$y=3x5−1 and $y=2$y=2 on the same plane.
Loading Graph...
d
Hence find the value of $x$x that satisfies the two equations $y=\frac{3x}{5}-1$y=3x5−1 and $y=2$y=2 simultaneously.
Easy
5min
Consider the equation $2\left(x-1\right)-3=7$2(x−1)−3=7.
Easy
4min
Consider the equation $2x=8-2x$2x=8−2x.
Easy
4min
Consider the equation $4x+3=2x-1$4x+3=2x−1.
Easy
4min
Sign up to access Practice Questions
Get full access to our content with a Mathspace account