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

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

Part 1) Find the x-intercept

For y=0

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

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

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

add all the numbers and check the ones place.

the answer is 486. as the ones place is more than 4, the estimation will be the next 10 ie, 490