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?
Hi, I might be wrong, but looking at that problem.. it looks like the x value MIGHT be:
x = 187y/4
Sorry if it's wrong!
.4x - 17.7 = -2.5x + 20
Combining terms.
2.9x = 37.7
Solve for x, then y.
To solve this system of equations, we will use the method of substitution. In the given system of equations:
Equation 1: y = (2/5)x - 17 7/10
Equation 2: y = -5/2x + 20
We will set Equation 1 equal to Equation 2, since they both equal to y:
(2/5)x - 17 7/10 = -5/2x + 20
To remove the fractions, we can multiply both sides of the equation by a common denominator. The least common denominator for 5, 10, and 2 is 10.
10[(2/5)x - 17 7/10] = 10[-5/2x + 20]
(4/1)x - 177/10 = -25x + 200
Next, let's get rid of the fractions by multiplying every term by 10:
10 * (4/1)x - 10 * (177/10) = 10 * (-25x) + 10 * (200)
40x - 177 = -250x + 2000
Combine like terms:
40x + 250x = 2000 + 177
290x = 2177
Now solve for x by dividing both sides of the equation by 290:
x = 2177/290
x ≈ 7.516
So the x value is approximately 7.516.