4p-3q=11,p-5q=7.solve the simultaneous equation
4p - 3q = 11
p - 5q = 7
Multiply by 4.
4p - 20q = 28
Subtract first equation from modified second to find q, then insert q value into either equation to find p.
How to solve 2p+ q=13,p - 3q=-4
To solve the given simultaneous equations, we can use the method of substitution or elimination. I will explain the method of substitution.
Step 1: Solve one of the equations for one variable in terms of the other variable.
Let's solve the second equation, p - 5q = 7, for p.
p = 7 + 5q.
Step 2: Substitute the expression found in Step 1 into the other equation.
Substitute p = 7 + 5q into the first equation, 4p - 3q = 11.
4(7 + 5q) - 3q = 11.
Step 3: Simplify and solve the equation.
28 + 20q - 3q = 11.
17q = -17.
q = -1.
Step 4: Substitute the value of q back into one of the original equations to solve for the other variable.
Using the first equation, 4p - 3(-1) = 11.
4p + 3 = 11.
4p = 8.
p = 2.
Therefore, the solution to the simultaneous equations is p = 2 and q = -1.