8x + 7y = 89
2x + 5y = 45

(5,7)

Step-by-step explanation:

8x + 7y = 89

2x + 5y = 45

Multiply the second equation by 4

4(2x + 5y) = 45*4

8x +20y = 180

Subtract the first equation

8x +20y = 180

-8x -7y = -89

     13y = 91

Divide each side by 13

13y/13 = 91/13

y =7

Now solve for x

2x+5y =45

2(x) +5(7) = 45

2x +35 = 45

Subtract 35 from each side

2x+35-35 = 45-35

2x =10

Divide each side by 2

2x/2 = 10/2

x=5

x=1.00,y=11.38

Step-by-step explanation:

This is simultaneous equation,we can solve by using elimination method

8x+7y=89..(1)

2x+5y=45...(2)

Multiply (1) by 2

16x+14y=178...(3)

Multiply (2) by 8

16y+40y=360...(4)

Substrate (3) from (4)

26y=182

Divide both sides by 26

y=11.38

Substitute the value of y into (1)

8x+7(11.38)=89

8x+79.625=89

8x=89-79.625

8x=9.375

Divide both sides by 8

x=1.00

Therefore x=1.00, y=11.38