Question

X - y = 7 , 2x + 3y = 4

Answer 1

Х=7+У
2(7+У)+3У=4
10+5У=0
У=2
Х=9

Answer 2

To solve the system of equations:

Equation 1: X - y = 7 Equation 2: 2x + 3y = 4

We can use the method of substitution or elimination to find the values of x and y that satisfy both equations. Let's use the method of substitution:

Step 1: Solve Equation 1 for X Rearrange Equation 1 to solve for X: X = y + 7

Step 2: Substitute the value of X in Equation 2 Replace X in Equation 2 with y + 7: 2(y + 7) + 3y = 4

Step 3: Simplify and solve for y Distribute 2 to y + 7: 2y + 14 + 3y = 4 Combine like terms: 5y + 14 = 4 Subtract 14 from both sides: 5y = 4 - 14 5y = -10 Divide by 5: y = -10/5 y = -2

Step 4: Substitute the value of y back into Equation 1 to find x X - (-2) = 7 X + 2 = 7 Subtract 2 from both sides: X = 7 - 2 X = 5

Therefore, the solution to the system of equations is x = 5 and y = -2.