Answer:
{x,y} = {7,-9/2}
Step-by-step explanation:
System of Linear Equations entered :
[1] 25-x=-4y
[2] 3x-2y=30
Equations Simplified or Rearranged :
[1] -x + 4y = -25
[2] 3x - 2y = 30
Graphic Representation of the Equations :
4y - x = -25 -2y + 3x = 30
Solve by Substitution :
// Solve equation [1] for the variable x
[1] x = 4y + 25
// Plug this in for variable x in equation [2]
[2] 3•(4y+25) - 2y = 30
[2] 10y = -45
// Solve equation [2] for the variable y
[2] 10y = - 45
[2] y = - 9/2
// By now we know this much :
x = 4y+25
y = -9/2
// Use the y value to solve for x
x = 4(-9/2)+25 = 7
Solution :
{x,y} = {7,-9/2}
Answer:
x=7, y=-4.5 or (7, -4.5)
Step-by-step explanation:
Hi there!
We are given the following system of equations:
25-x=-4y
3x-2y=30
Before we do anything, let's move our x and y values to one side, while keeping the numbers on the other side
So for 25-x=-4y, start by adding 4y to both sides
25-x=-4y
+4y +4y
_____________
25 + 4y - x = 0
Now subtract 25 from both sides
4y - x = -25
Now the system is this:
4y-x=-25
3x-2y=30
We can solve this equation by substitution, where we solve one of the equations for one of the variables, and then use the expression that the variable is equal to, in order to find the value of the other variable. Then, once the value of that variable is found, use that value to find the value of the first variable.
Start with 4y-x=-25
Subtract 4y from both sides
-x=-4y-25
Now multiply both sides by -1
x=4y+25
Substitute 4y+25 as x in 3x-2y=30
3(4y+25)-2y=30
Multiply
12y+75-2y=30
Simplify
10y+75=30
Subtract 75 from both sides
10y=-45
Divide both sides by 10
y = -4.5
Now substitute -4.5 as y in x=4y+25
x=4(-4.5)+25
Subtract
x= -18 +25
x= 7
The answer is x=7, y=-4.5. As a point, it's (7, -4.5)
Hope this helps!
See more on solving systems of equation here: https://brainly.com/question/24420448
