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Maurinko [17]
3 years ago
13

Consider this system of equations.  x + 2y = 5,  –x + 3y = 6 The x- and y-intercepts of the first equation are found below. x-in

tercept: y-intercept: x + 2(0) = 5 x = 5 (5, 0) (0) + 2y = 5 2y = 5 y = 52 = 2.5 Find the intercepts for the equation –x + 3y = 6. What is the x-intercept? What is the y-intercept?
Mathematics
2 answers:
vichka [17]3 years ago
7 0

Answer:

Part 1) The x-intercept is the point (-6,0)

Part 2) The y-intercept is the point (0,2)

Step-by-step explanation:

we know that

The x-intercept is the value of x when the value of y is equal to zero

The y-intercept is the value of y when the value of x is equal to zero

we have

-x+3y=6

Part 1) Find the x-intercept

For y=0

substitute the value of y in the linear equation and solve for x

-x+3(0)=6

-x=6

x=-6

The x-intercept is the point (-6,0)

Part 2) Find the y-intercept

For x=0

substitute the value of x in the linear equation and solve for y

-(0)+3y=6

3y=6

y=2

The y-intercept is the point (0,2)

Natalka [10]3 years ago
6 0

Answer:

x-intercept

is (-6,0)

y-intercept

is (0,2)

Step-by-step explanation:

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