Solve the simultaneous equation by substitution method [ 3 x-4 y=7 5 x-2 y=7 ]

To solve the system of equations using the substitution method, we can solve one equation for one variable and substitute it into the other equation. Let's solve the first equation for : Now, substitute this expression for into the second equation: Multiply both sides by 3 to eliminate the fraction: Combine like terms: Subtract 35 from both sides: Divide both sides by 14: Now that we have the value of , we can substitute it back into the expression for : Therefore, the solution to the system of equations is and .