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.

Question

y = 2/5 x- 17 7/10

y = -5/2 x + 20

What is the x value?

Answer 1

working in decimals is easier

subtract the equations to eliminate y

solve for the x value, then substitute back to find y

Answer 2

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:

Answer 3

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

Answer 4

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.