Question

7x=3y+45
4x+5y=19 what’s the answer and show work

Answer 1

x = 6, y = -1.

Explanation:

7x = 3y + 45

4x + 5y = 19.... (1)

Rearranging the first equation:

7x - 3y = 45-----(2)

Multiply equation (1) by 3 and equation (2) by 5:

12x + 15y = 57

35x - 15y = 225

Adding :

47x + 0 = 282

x = 282 / 47 = 6.

To find the value of y substitute x = 6 into equation (2):

7(6) -3y = 45

-3y = 45 - 42 = 3

y = 3/-3 = -1.

Answer 2

x = 6 and y = -1

Explanation:

It is given two equations,

7x = 3y + 45

⇒ 7x - 3y = 45 -------(1)

4x + 5y=19

⇒ 4x + 5y = 19 --------(2)

To solve these equations

eq (1) * 4 ⇒ 28x - 12y =180 ----(3)

eq (2) * 7 ⇒ 28x + 35y = 133 ----(4)

eq(3) - eq(4) ⇒ 0x - 47y = 47

y = -47/47 = -1

eq(1) ⇒ = 7x - 3*-1 = 45

7x + 3 = 45

7x = 45 - 3 = 42

x = 42/7 = 6

Therefore x = 6 and y = -1