Solve the system of equations by using substitution
y=2x+3
y=x+2
since y = 2x+3,
2x+3 = x+2
x = -1
since x = y-2,
y = 2(y-2)+3
y = 2y-1
y = 1
Y=2
2x+y=8
Sure, let's solve this system of equations by using substitution.
We will start by solving one of the equations for one variable and then substitute it into the other equation.
Let's solve the second equation for y:
y = x + 2
Now, we substitute this expression for y in the first equation:
2x + 3 = x + 2
To isolate x, let's subtract x from both sides:
2x - x + 3 = 2
Simplifying, we have:
x + 3 = 2
Subtracting 3 from both sides gives us:
x = -1
Now that we have the value of x, we can substitute it back into one of the equations to find the value of y. Let's use the second equation:
y = x + 2
Substituting x = -1:
y = -1 + 2
Simplifying:
y = 1
So, the solution to the system of equations is x = -1 and y = 1.
To solve the system of equations using substitution, we will start by solving one equation for one variable and then substituting it into the other equation.
Let's solve the second equation for y:
y = x + 2
Now, substitute this expression for y in the first equation:
2x + 3 = x + 2
Next, we will isolate x on one side of the equation. Subtract x from both sides:
2x - x = 2 - 3
x = -1
Now that we have the value of x, we can substitute it back into one of the original equations to find the value of y. Let's use the second equation:
y = x + 2
Substituting x = -1:
y = -1 + 2
y = 1
Therefore, the solution to the system of equations is x = -1 and y = 1.
To solve the system of equations using substitution, we will solve one equation for one variable and substitute the expression into the other equation.
Let's solve the second equation for y:
y = x + 2
Now, substitute this expression for y in the first equation:
2x + 3 = x + 2
To isolate the variable, subtract x from both sides:
2x - x + 3 = 2 - x + 2
Simplifying both sides:
x + 3 = 2
Next, subtract 3 from both sides:
x + 3 - 3 = 2 - 3
Simplifying:
x = -1
Now, substitute the value of x into the second equation:
y = (-1) + 2
y = 1
Therefore, the solution to the system of equations is x = -1 and y = 1.