Question

X-8y-17=0 3x+4y-23=0

Answer 1

X-8y -17= 0          x= 17+8y
3x+ 4y -23= 0      3(17+8y)+ 4y -23 =0

3(17+8y)+ 4y -23 =0
51 +24y +4y= 23
28y = -28
y = -1

x=17+ 8*(-1) = 9

Answer 2

To solve the system of equations:

1. X - 8y - 17 = 0
2. 3x + 4y - 23 = 0

We can use either the substitution method or the elimination method. Let's use the elimination method in this case:

Step 1: Multiply both sides of equation (1) by 4 and equation (2) by 8 to eliminate the y variable:

1. 4(X - 8y - 17) = 4(0) -> 4X - 32y - 68 = 0
2. 8(3x + 4y - 23) = 8(0) -> 24x + 32y - 184 = 0

Step 2: Now add the two equations to eliminate the y variable:

(4X - 32y - 68) + (24x + 32y - 184) = 0 4X + 24x - 252 = 0

Step 3: Combine like terms:

28x - 252 = 0

Step 4: Isolate x by adding 252 to both sides:

28x = 252

Step 5: Divide both sides by 28 to solve for x:

x = 252 / 28 x = 9

Step 6: Now that we have the value of x, we can find the value of y by substituting the value of x into either of the original equations. Let's use equation (1):

X - 8y - 17 = 0 9 - 8y - 17 = 0

Step 7: Simplify and solve for y:

-8y - 8 = 0

Step 8: Isolate y by adding 8 to both sides:

-8y = 8

Step 9: Divide both sides by -8 to solve for y:

y = -1

So the solution to the system of equations is x = 9 and y = -1.