x-intercept = 15
y-intercept = 10
Step-by-step explanation:
For finding the x intercept of a line or equation, y is put equal to zero
For finding the y intercept of a line or equation, x is put equal to zero
Given equation is:
[tex]2x+3y=30[/tex]
Putting y=0
[tex]2x+3(0)=30\\2x+0=30\\2x=30[/tex]
Dividing both sides by 2
[tex]\frac{2x}{2} = \frac{30}{2}\\x = 15[/tex]
Putting x=0
[tex]2(0)+3y = 30\\0+3y = 30\\3y=30[/tex]
Dividing both sides by 3
[tex]\frac{3y}{3} = \frac{30}{3}\\y =10[/tex]
Hence,
x-intercept = 15
y-intercept = 10
Keywords: Intercepts, linear equations
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