Write and solve two equations to find the values of x and y.
y+4
3x-15
x+33
Equation 1: y + 4 = 3x - 15
Equation 2: x + 33 = y + 4
To solve the equations, we'll use a method known as substitution.
Step 1: Solve equation 2 for y
y = x + 33 - 4
y = x + 29
Step 2: Substitute the value of y from equation 2 into equation 1
x + 29 + 4 = 3x - 15
Step 3: Simplify equation 1
x + 33 = 3x - 15
Step 4: Subtract x and 3x from both sides of the equation
33 = 2x - 15
Step 5: Add 15 to both sides of the equation
48 = 2x
Step 6: Divide both sides of the equation by 2
x = 24
Step 7: Substitute the value of x into equation 2 to find y
y = 24 + 29
y = 53
Thus, the solution to the system of equations is x = 24 and y = 53.
Let's write two equations using the given expressions and solve for the values of x and y.
Equation 1: y + 4 = 0
Equation 2: 3x - 15 = 0
Equation 3: x + 33 = 0
To solve Equation 1:
y = -4
To solve Equation 2:
3x - 15 = 0
3x = 15
x = 5
To solve Equation 3:
x + 33 = 0
x = -33
So, the solution for x is 5 and the value for y is -4.
To solve the system of equations, we will set up a system with both equations and solve for the variables x and y.
Equation 1: y + 4 = 0
Equation 2: 3x - 15 = 0
Equation 3: x + 33 = 0
To solve Equation 1, we isolate the variable y by subtracting 4 from both sides:
y = -4
To solve Equation 2, we isolate the variable x by adding 15 to both sides:
3x = 15
Divide both sides by 3:
x = 5
To solve Equation 3, we isolate the variable x by subtracting 33 from both sides:
x = -33
So, the solution to the system of equations is:
x = 5 and y = -4