3.3 Algebraic Methods of Solution

Step 1

We want to eliminate $y$ . Multiply Eq 1 by 3 and Eq 2 by 4.

Step 2

Eq 1 $\times$ 3: $27x - 12y = 6000$ (A)

Step 3

Eq 2 $\times$ 4: $28x - 12y = 8000$ (B)

Step 4

Subtract (A) from (B): $(28x - 27x) + (-12y - (-12y)) = 8000 - 6000$ .

Step 5

$x = 2000$ .

Step 6

Substitute $x$ in Eq 1: $9(2000) - 4y = 2000$ .

Step 7

$18000 - 4y = 2000 \implies 4y = 16000 \implies y = 4000$ .

Final Answer

x=2000, y=4000

Operation

Equation 1: a1x + b1y + c1 = 0

Select operation and enter coefficients.