2x-3y=14,5x+2y=16 then find value of x and y
Answers
Answer:
System of Linear Equations entered :
[1] 2x - 3y = 14 [2] 5x + 2y = 16
Graphic Representation of the Equations :
-3y + 2x = 14 2y + 5x = 16
Solve by Substitution :
// Solve equation [2] for the variable y
[2] 2y = -5x + 16 [2] y = -5x/2 + 8
// Plug this in for variable y in equation [1]
[1] 2x - 3•(-5x/2+8) = 14 [1] 19x/2 = 38 [1] 19x = 76
// Solve equation [1] for the variable x
[1] 19x = 76 [1] x = 4
// By now we know this much :
x = 4 y = -5x/2+8
// Use the x value to solve for y
y = -(5/2)(4)+8 = -2
Solution :
{x,y} = {4,-2}
Answer:
x=44/9 and y=-39/9
Step-by-step explanation:
2x-3y=14 ---- I
5x+2y=16 --- II
5x=16-2y
x=(16-2y)/5
Now substituting the values of x in equation I
2((16-2y)/5)-3y=14
((32-4y)/5)-3y =14
3*(32-4y)-15y/15y=14
96-12y-15y=14*15
96-27y=210
-27y=210-96
-27y=114
y = -114/27
y = -38/9
x=(16-2y)/5
x=(16-(2*-38/9)/5
x=(16+76/9)/5
x=((144+76)/9)/5
x=220/45
x=44/9