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Is there a solution YES OR NO AND WHAT IS THE SOLUTION?

(-1, -2) will be the solution.

Step-by-step explanation:

System of equations has been given as,

y = 3x + 1 ---------(1)

Input-output value table for the given line will be,

x       -2        -1          0          1

y      -5        -2         1           4

y = -x - 3 ----------(2)

Input-output value table for the given line will be,

x        -2         -1           0           1

y       -1          -2          -3         -4  

By plotting the given coordinates we can draw the straight lines.

And the point of intersection (common point) of these lines will be the solution of the given system of equations.

Hence, (-1, -2) will be the solution.

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.

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step-by-step explanation:

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