Solve the system by substitution. 8x + 7y = -47 4y – 1= x(help me please)
Mathematics · High School · Thu Feb 04 2021
Answered on
GIven the systems of linear equation:
8x - 7y = -47
4y - 1 = x
Solve the equation by substitution.
Solution:
In order to solve the given linear equation, we simply need to substitute the value of x from the second equation, to the first equation.
8 (4y - 1) - 7y = -47
32y - 8 - 7y = -47
25y - 8 = - 47
Transpose -8 to the other side of the equation, hence it must be taken to note that in transposing a number, the sign changes.
25y = - 47 + 8
25y = -39
Divide 25 to both sides of the equation in order to cancel out 25, leaving behind y.
25y/25 = -39/25
y = - 39/25
Final answer:
y = - 39/25