Solve the system of two equations using substitution.%0D%0Ay=2+3x%0D%0A4x−3y=−16(1 point)%0D%0AResponses%0D%0A%0D%0A(−2, 4)%0D%0A left parenthesis negative 2 comma 4 right parenthesis%0D%0A%0D%0A(2, 10)%0D%0A left parenthesis 2 comma 10 right parenthesis%0D%0A%0D%0A(−2, −4)%0D%0A left parenthesis negative 2 comma negative 4 right parenthesis%0D%0A%0D%0A(2, 8)
To solve the system using substitution, we'll first solve one of the equations for one variable and substitute it into the other equation.
From the first equation, we have y = 2 + 3x.
Substituting y = 2 + 3x into the second equation, we get:
4x - 3(2 + 3x) = -16
4x - 6 - 9x = -16
-5x - 6 = -16
-5x = -10
x = 2
Substituting this value of x back into y = 2 + 3x, we get:
y = 2 + 3(2)
y = 2 + 6
y = 8
Therefore, the solution to the system of equations is (2, 8).
To solve the system of equations using substitution, we need to solve one equation for one variable and substitute that expression into the other equation. Let's solve the first equation for y:
y = 2 + 3x
Now, substitute this expression for y in the second equation:
4x - 3(2 + 3x) = -16
Let's simplify the equation:
4x - 6 - 9x = -16
Combine like terms:
-5x - 6 = -16
Now, let's isolate the variable:
-5x = -16 + 6
-5x = -10
Divide both sides by -5:
x = -10 / -5
x = 2
Now, substitute this value of x back into either of the original equations to find y. Let's use the first equation:
y = 2 + 3x
y = 2 + 3(2)
y = 2 + 6
y = 8
Therefore, the solution to the system of equations is (2, 8).
To solve the system of equations using substitution, we need to solve one equation for one variable and then substitute that expression into the other equation.
Let's start with the first equation:
y = 2 + 3x
Now, we will substitute this expression for 'y' in the second equation:
4x - 3(2 + 3x) = -16
Let's simplify this equation by distributing the -3:
4x - 6 - 9x = -16
Combine like terms:
-5x - 6 = -16
Now, isolate 'x' by adding 6 to both sides:
-5x = -10
Divide both sides by -5:
x = 2
We have found the value of 'x'. Now, substitute this value back into the first equation to find 'y':
y = 2 + 3(2)
y = 2 + 6
y = 8
Therefore, the solution to the system of equations is (2, 8).