Y = 1/2x + 2
y = -3x + 9

1. x=2y-4

2. x=−1/3y+3

Step-by-step explanation:

1.

Let's solve for x:

y=1/2x+2

Step 1: Flip the equation

1/2x+2=y

Step 2: Add -2 to both sides

1/2x+2+−2=y+−2

1/2x=y−2

Step 3: Divide both sides by 1/2

1/2x/1/2=y−2/1/2

x=2y−4

x=2y−4

2.

Let's solve for x:

y=−3x+9

Step 1: Flip the equation

−3x+9=y

Step 2: Add -9 to both sides

−3x+9+−9=y+−9

−3x=y−9

Step 3: Divide both sides by -3

−3x/−3

=y−9/−3

x=−1/3y+3

x=−1/3y+3

3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!

the solution is the point

step-by-step explanation:

we have

> equation a

> equation b

adds equation a and equation b

substitute the value of x in equation b to find the value of y

the solution is the point