Solve the following system of equations. You will type your x value in the first part and the y value in the second part of the question. If the answer is no solution then type NS in both parts and if the the answer is infinite solutions then type I in both parts.
y = 2/5 x- 17 7/10
y = -5/2 x + 20
What is the x value?
working in decimals is easier
subtract the equations to eliminate y
solve for the x value, then substitute back to find y
Eq1: Y = 2x/5 - 177/10.
Eq2: Y = -5x + 20.
In Eq1, replace Y with -5x + 20 and solve for X:
-5x + 20 = 2x/5 - 177/10.
Multiply both sides by 10:
-50x + 200 = 4x - 177,
-54x = -377,
X = 6.98.
In Eq2, replace X with 6.98 and solve for Y:
I'm afraid that Henry2 has gone astray
y = 2/5 x- 17 7/10 ... y = .4 x - 17.7
y = -5/2 x + 20 ... y = -2.5 x + 20
subtracting equations ... 0 = 2.9 x - 37.7 ... solve for x
Correction: Eq2 should be -5x/2 + 20.
Eq1: Y = 2x/5 - 177/10.
Eq2: Y = -5x/2 + 20.
In Eq1, replace Y with -5x/2 + 20:
-5x/2 + 20 = 2x/5 - 177/10,
Multiply both sides by 10:
-25x + 200 = 4x - 177,
X = 13.
In Eq2, replace X with 13 and solve for Y:
Y = -5*13/2 + 20 = -12.5.
To solve the system of equations, we need to find the values of x and y that satisfy both equations simultaneously.
We'll start by setting the two equations equal to each other:
2/5x - 17 7/10 = -5/2x + 20
Next, we can simplify the equation by getting rid of the fractions. We can do this by multiplying every term in the equation by the least common denominator of the fractions involved. In this case, the least common denominator is 10.
10 * (2/5x - 17 7/10) = 10 * (-5/2x + 20)
This simplifies to:
4x - 177 = -25x + 200
Now, let's combine like terms by adding 25x to both sides:
4x + 25x - 177 = -25x + 25x + 200
This simplifies to:
29x - 177 = 200
Next, let's isolate the variable x by adding 177 to both sides:
29x - 177 + 177 = 200 + 177
This simplifies to:
29x = 377
Finally, to solve for x, we divide both sides by 29:
(29x)/29 = 377/29
This simplifies to:
x = 13
Therefore, the x value is 13.