Question

Solve the system of linear equations using substitution:

[ y = -5x + 30 ]
[ x = 10 ]

a) ( x = 10, , y = -20 )
b) ( x = 5, , y = 5 )
c) ( x = 10, , y = 5 )
d) ( x = 5, , y = -20 )

Answer 1

To solve the system of linear equations using substitution, substitute the value of x into the first equation and solve for y. The solution to the system of linear equations is a) x = 10 and y = -20.

Step-by-step explanation:

To solve the system of linear equations using substitution, we can substitute the value of x from the second equation into the first equation to find the value of y.

1. Given the second equation x = 10.
2. Substitute x = 10 into the first equation: y = -5(10) + 30.
3. Simplify the equation: y = -50 + 30 = -20.

Therefore, the solution to the system of linear equations is x = 10 and y = -20.