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Chapter 4: Q 4.15. (page 426)

Find three solutions to this equation:y=-2x+3.

Short Answer

Expert verified

The equation has three solutionsy=-2x+3are(0,3),(1,1),(2,-1)

Step by step solution

01

Step 1. Given Information

The given equation arey=-2x+3

02

Step 2. Find the equation

We can substitute any value we want for xor any value for y. Since the equation is in y-form, it will be easier to substitute in values of x. Let's pick x=0,x=1,and x=2.

Substitute x=0in equation

y=-2x+3y=-2.0+3y=3

The solution to the equation is(0,3).

Substitute x=1in equation

y=-2x+3y=-2.1+3y=-2+3y=1

The solution to the equation is (1,1).

Substitute x=2in equation i

y=-2x+3y=-2.2+3y=-4+3y=-1

The solution to the equation is(2,-1)

03

Step 3. Table

So, (0,3),(1,1)and (2,-1)are all solutions to y=-2x+3.

x
y
(x,y)
0
3
(0,3)
1
1
(1,1)
2
-1
(2,-1)

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