Answer:
[tex]x=6[/tex]
Point: (6,0)
Step-by-step explanation:
The line intersects the x-axis when the value of "y" is equal to zero.
Then, to find the x intercept, you need to substitute [tex]y=0[/tex] into the equation [tex]5x-3y=30[/tex] and solve for "x":
[tex]5x-3y=30\\5x-3(0)=30\\5x=30[/tex]
The Division property of equality states that:
If [tex]a=b[/tex], then [tex]\frac{a}{c}=\frac{b}{c}[/tex]
Then, you can divide both sides of the equation by 5:
[tex]\frac{5x}{5}=\frac{30}{5}\\\\x=6[/tex]
Therefore, the x intercept of the graph of [tex]5x-3y=30[/tex] is:
[tex]x=6[/tex]
Point: (6,0)
