Question

Which equation describes an infinite solution system with the equation y=4x−3?
−2y+8x=−6 negative 2 y plus 8 x equals negative 6 2y+8x=−6 2 y plus 8 x equals negative 6 2y−8x=−6 2 y minus 8 x equals negative 6 2y−8x=6

Answer 1

What is the solution of  y=2x−1  and  y−3=4x ? (1 point)

Answer 2

Use the table to answer the question. x-value y-value if  y=x+6 y-value if  y=2x+3 0 6 3 1 7 5 2 8 7 3 9 9 4 10 11 A system of equations is displayed in the table. What is the solution for the system?

Answer 3

The equation that describes an infinite solution system with the equation y = 4x - 3 is 2y - 8x = 6.

Answer 4

To find the solution of the system of equations y = 2x - 1 and y - 3 = 4x, we can use the substitution method.

1. Rearrange the second equation to solve for y:
y = 4x + 3

2. Substitute the expression for y in the first equation:
2x - 1 = 4x + 3

3. Simplify the equation by combining like terms:
-2x = 4

4. Divide both sides of the equation by -2:
x = -2

5. Substitute the value of x back into either equation to find the value of y:
y = 2(-2) - 1
y = -4 - 1
y = -5

Therefore, the solution to the system of equations y = 2x - 1 and y - 3 = 4x is x = -2 and y = -5.

Answer 5

Looking at the table, we have two equations:

y = x + 6 ----- (Equation 1)
y = 2x + 3 ----- (Equation 2)

By comparing Equation 1 and Equation 2, we can see that they have the same y-values for each corresponding x-value in the table, except for x = 0.

For x = 0, Equation 1 gives y = 6, while Equation 2 gives y = 3. Therefore, the two equations do not have the same solution for x = 0.

Since there is no consistent solution for the system of equations in the table, we can say that the system is inconsistent.