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3 years ago

Solve through substitution

Mathematics

1 answer:

Talja [164]3 years ago

8 0

Answer:

The above system of equation have NO INTERSECTION POINT.

Step-by-step explanation:

Here, the givens system of equation are:

-3 x + 3 y = 4

and y = x + 3

Now, for the intersection of the equations:

Put y = x + 3 in the given first equation:

-3 x + 3 y = 4 ⇒ -3x + 3 (x+ 3) = 4

or, - 3x + 3x + 9 = 4

⇒ 9 = 4 which gives A CONTRADICTION as 9 ≠ 4

Hence, the above system of equation have NO INTERSECTION POINT.

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2 years ago

Read 2 more answers

What is the remainder when 19x^2 + 15x + 12 is divided by x - 2?

Aleksandr-060686 [28]

Answer:

R = 118

Step-by-step explanation:

Given

Represent the polynomial with P and the divisor with D

$P = 19x^2 + 15x + 12$

$D = x -2$

Required

Determine the remainder

We start by equating the divisor to 0

i.e.

$D = 0$

$x - 2 = 0$

$x = 2$

Substitute 2 for x in the polynomial.

This gives remainder (R)

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3 years ago