Question

Solve : 3x-2y=42, x+y=5

Answer 1

To solve the system of equations, we used substitution to find x = 10.4 and y = -5.4 as the solution.

Step-by-step explanation:

To solve the system of equations 3x-2y=42 and x+y=5, we can use the substitution or elimination method. Let's use substitution since the second equation can be easily solved for one variable.

From the second equation, we solve for y:

• x + y = 5
• y = 5 - x

Now substitute this expression for y into the first equation:

• 3x - 2(5 - x) = 42
• 3x - 10 + 2x = 42
• 5x - 10 = 42
• 5x = 52
• x = 52 / 5
• x = 10.4

Now substitute x back into the equation y = 5 - x:

• y = 5 - 10.4
• y = -5.4

The solution to the system of equations is x = 10.4 and y = -5.4.