197k views
0 votes
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?

User Xan
by
8.0k points

2 Answers

3 votes

Answer:

x-intercept

is (-6,0)

y-intercept

is (0,2)

Explanation:

User Zeeshan Ansari
by
8.6k points
0 votes

Answer:

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

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

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)

User BuckBazooka
by
8.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.