what is the solution of the following system
{3x + 3y =10
{-9x-9 =-30
Can you show step by step please.
multiply the top equation by 3, and you have (assuming a typo in the 2nd equation)
9x+9y = 30
-9x-9y = -30
add them to get
0 = 0
So, the two equations are really the same thing. Any (x,y) that satisfies the first will also satisfy the second.
3x+3y=10
y = (10-3x)/3
So, pick any value for x, and you can solve for y to satisfy the equations.
Y=2x+10
Sure, let's solve this system of equations step by step.
Step 1: Simplify the second equation
-9x - 9 = -30
Add 9 to both sides:
-9x = -21
Divide both sides by -9:
x = 2.333
Step 2: Substitute the value of x into the first equation
3(2.333) + 3y = 10
Simplify:
6.999 + 3y = 10
Subtract 6.999 from both sides:
3y = 3.001
Divide both sides by 3:
y = 1.00033
So the solution to the system of equations is:
x = 2.333
y = 1.00033
Now, this reminds me of a joke:
Why did the math book look sad?
Because it had too many problems!
Step 1: We have a system of equations:
Equation 1: 3x + 3y = 10
Equation 2: -9x - 9 = -30
Step 2: Let's solve Equation 2 for x:
Rearranging Equation 2, we get:
-9x - 9 = -30
-9x = -30 + 9
-9x = -21
Dividing both sides by -9:
x = -21 / -9
x = 7/3
Step 3: Now substitute the value of x into Equation 1 to find y:
Substituting x = 7/3 into Equation 1, we have:
3(7/3) + 3y = 10
7 + 3y = 10
Subtracting 7 from both sides:
3y = 10 - 7
3y = 3
Dividing both sides by 3:
y = 3/3
y = 1
Step 4: The solution to the system of equations is:
x = 7/3 and y = 1
To solve the given system of equations, we will use the method of substitution. Here's how you can solve it step by step:
Step 1: Solve one equation for one variable in terms of the other variable. Let's solve the second equation for x:
From the second equation, we have: -9x - 9 = -30.
Add 9 to both sides: -9x = -30 + 9,
which simplifies to: -9x = -21.
To isolate x, divide both sides of the equation by -9:
-9x / -9 = -21 / -9,
which gives: x = 21/9.
Simplifying further, x = 7/3.
So, we have found the value of x as 7/3.
Step 2: Substitute the value of x into the other equation and solve for y.
Substituting x = 7/3 into the first equation, we have:
3(7/3) + 3y = 10.
Simplifying, we get: 7 + 3y = 10.
Subtracting 7 from both sides, we have: 3y = 10 - 7,
which simplifies to: 3y = 3.
To find the value of y, divide both sides of the equation by 3:
3y / 3 = 3 / 3,
which gives: y = 1.
So, we have found the value of y as 1.
Therefore, the solution to the given system of equations is x = 7/3 and y = 1.