Question

X and y intercepts of 2x+3y=30

Answer 1

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:

$2x+3y=30$

Putting y=0

$2x+3(0)=30\\2x+0=30\\2x=30$

Dividing both sides by 2

$\frac{2x}{2} = \frac{30}{2}\\x = 15$

Putting x=0

$2(0)+3y = 30\\0+3y = 30\\3y=30$

Dividing both sides by 3

$\frac{3y}{3} = \frac{30}{3}\\y =10$

Hence,

x-intercept = 15

y-intercept = 10

Keywords: Intercepts, linear equations

Learn more about intercepts at:

• brainly.com/question/6208262
• brainly.com/question/6166224

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