Solve for X and Y with substitution

Mathematics

1 answer:

Nostrana [21]3 years ago

3 0

Answer:

1. x = no solution

y = no solution

2. x= 3

y = -4

Step-by-step explanation:

y = 5 - x

2x + 2y = 6

Divide the equation by 2.

x + y = 3

x + (5 - x) = 3

x + 5 -x = 3

x-x + 5 =3

5 =3 ⇒⇒⇒ This is not true. So, we can say that the simultaneous equation don't have a solution.

-7x - 2y = -13

x - 2y = 11

x = 11 + 2y

-7(11 + 2y) - 2y = -13

-77 - 14y - 2y = -13

-16y = 64

y = -4

x = 11 + 2(-4)

= 11 - 8 = 3

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What is the solution to this system of equations? 3x + y = 17 x + 2y = 49 A. It has no solution. B. It has infinite solutions. C

kari74 [83]

Answer:

Choice D

Step-by-step explanation:

Several techniques do exist for solving systems of linear equations; substitution method, graphical method and elimination method. For this scenario, since we are not restricted on the method, I opted to use the graphical technique.

The graphical solution to a system of linear equations is the point where the lines intersect. If the lines are never intersect then the system has no solution.

The attachment below shows that the system intersects at the point (-3, 26). Therefore, the system has a single solution: x = -3, y = 26.