To solve the simultaneous equations 2x + 3y = 14 and 4x + 3y = 10, you can use the method of substitution. First, solve one of the equations for either x or y, then substitute that expression into the other equation. The solution is x = -2 and y = 6.
To solve the simultaneous equations 2x + 3y = 14 and 4x + 3y = 10, you can use the method of substitution. First, solve one of the equations for either x or y, then substitute that expression into the other equation. Let's solve the second equation for y:
4x + 3y = 10
3y = 10 - 4x
y = (10 - 4x) / 3
Now, substitute this expression for y in the first equation:
2x + 3((10 - 4x) / 3) = 14
2x + (10 - 4x) = 14
10 - 2x = 14
10 - 14 = 2x
-4 = 2x
x = -2
Now plug this value of x back into either of the original equations to find the value of y:
2(-2) + 3y = 14
-4 + 3y = 14
3y = 18
y = 6
Therefore, the solution to the simultaneous equations is x = -2 and y = 6.
The above question is incomplete, the complete question is:
Solve these simultaneous equations:
2x + 3y =14
4x + 3y = 10