4x+3y-4=0;6x=8-5y use elimination method
Answers
Answer:
x = -2
y = 4
Step-by-step explanation:
Given,
- 4x + 3y - 4 = 0
- 6x = 8 - 5y
To Find,
- The value of x and y by elimination method.
Solution,
4x + 3y - 4 = 0
4x + 3y = 4 •••[1]
6x = 8 - 5y
6x + 5y = 8 •••[2]
Step 1 : Multiply Equation [1] by 3 and Equation [2] by 2 to make the coefficients of x equal, Then we get the equations:
4x + 3y = 4 •••[1]
3(4x + 3y) = 3(4)
12x + 9y = 12 •••[3]
6x + 5y = 8 •••[2]
2(6x + 5y) = 2(8)
12x + 10y = 16 •••[4]
Step 2 : Subtract Equation [3] from Equation [4] to eliminate x, because the coefficients of x are the same. So, we get
12x + 10y - (12x + 9y) = 16 - 12
→ 12x + 10y - 12x - 9y = 4
→ 12x - 12x + 10y - 9y = 4
→ y = 4
Step 3 : Substituting this value y in [1], we get
4x + 3y = 4 •••[1]
→ 4x + 3(4) = 4
→ 4x + 12 = 4
→ 4x = 4 - 12
→ 4x = -8
→ x = -8/4
→ x = -2
Verification,
4x + 3y = 4 •••[1]
→ 4(-2) + 3(4) = 4
→ -8 + 12 = 4
→ 4 = 4
L.H.S. = R.H.S.
6x + 5y = 8 •••[2]
→ 6(-2) + 5(4) = 8
→ -12 + 20
→ 8 = 8
L.H.S. = R.H.S.
Required Answer,
- The value of x is -2.
- The value of y is 4.