Use elimination to find the solution to the system of equations. 4x+2y=34 5x-6y=34

Let's solve for x.

4x+2y=345x−6y

Step 1: Add -345x to both sides.

4x+2y+−345x=345x−6y+−345x

−341x+2y=−6y

Step 2: Add -2y to both sides.

−341x+2y+−2y=−6y+−2y

−341x=−8y

Step 3: Divide both sides by -341.

−341x

−341

=

−8y

−341

x=

8

341

y

Step-by-step explanation:

Step-by-step explanation:

4x+2y=34;5x−6y=34

Step: Solve 4x+2y=34 for x:

4x+2y=34

4x+2y+−2y=34+−2y(Add -2y to both sides)

4x=−2y+34

4x 4 =−2y+34 4

(Divide both sides by 4)

x=−1/2y+17/2

Step: Substitute

−1/2y+17/2

solve for x in 5x−6y=34:

5x−6y=34

5(−1/2y+17/2)−6y=34

−17/2y+85/2=34(Simplify both sides of the equation)

−17/2y+85/2+−85/2=34+−85/2

(Add (-85)/2 to both sides)

−17/2

y=−17/2/−17/2y−17/2=−17/2/−17/2

(Divide both sides by (-17)/2)

y=1

Step: Substitute 1 for y in

x=−1//2y+17/2:

x=−1/2y+17/2

x=−1/2(1)+17/2

x=8 (Simplify both sides of the equation)

use an equation of ratios to determine the amount of gas needed to fill the tank.

    0.2             0.8

  =    

288.75             x

                                                              231 gal

so, 0.2x = (0.8)(288.75 gal), and x = = 1155 gal.

                                                                0.2

it would take 1155 gal. to fill the tank.

the cost would be

1155 gal         $3

* = $3465   (answer)

      1           1 gal

hope this you

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!