Respuesta :
Answer:
The answer to your question is 1.- (37/2, -9/2) 2.- g = 4 and h = 2
Step-by-step explanation:
Data
Equation 1 2x + 8y = 1
Equation 2 x = -3y + 5
Process
1.- Substitute equation 2 in equation 1
2(-3y + 5) + 8y = 1
Expand
-6y + 10 + 8y = 1
Solve for y
8y - 6y = 1 - 10
2y = -9
y = -9/2
2.- Substitute y in equation 2 to find x
x = -3(-9/2) + 5
Simplify
x = 27/2 + 5
x = 27/2 + 10/2
x = 37/2
Solution (37/2, -9/2)
2.-
Equation 1 6g + 8h = 40
Equation 2 -6g + 2h = -20
Process
1.- Add both equations
Result
0 + 10h = 20
Solve for h
h = 20/10
h = 2
2.- Substitute h in Equation 1 to find g
6g + 8(2) = 40
Simplification
6g + 16 = 40
Solve for g
6g = 40 - 16
6g = 24
g = 24/6
g = 4
Solution g = 4 and h = 2
Answer: x = 14
y = - 3
Step-by-step explanation:
the given system of equations is expressed as
2x+8y = 4- - - - - - - - - - - - - 1
x =−3y + 5- - - - - - - - - - - - 2
To apply the method of substitution, we would substitute equation 2 into equation 1, it becomes
2(- 3y + 5) + 8y = 4
- 6y + 10 + 8y = 4
Subtracting 10 from the left hand side and the right hand side of the equation, it becomes
- 6y + 10 - 10 + 8y = 4 - 10
- 6y + 8y = - 6
2y = - 6
Dividing the left hand side and the right hand side of the equation by 2, it becomes
2y/2 = - 6/2
y = - 3
Substituting y = - 3 into equation 2, it becomes
x = −3 × - 3 + 5
x = 9 + 5
x = 14
2) 2x+8y = 4- - - - - - - - - - - - - 1
x + 3y = 5- - - - - - - - - - - - 2
Multiplying equation 1 by 1 and equation 2 by 2, it becomes
2x + 8y = 4
2x + 6y = 10
Subtracting, it becomes
2y = - 6
y = - 6/2
y = - 3
Substituting y = - 3 into equation 2, it becomes
x + 3 × - 3 = 5
x - 9 = 5
x = 5 + 9 = 14
