PLEASE HELP ME WITH A FEW MATH QUESTIONS IM IN NEED OF HELP, IT IS URGENT I'LL GIVE THANKS!!!!

Mathematics

1 answer:

shtirl [24]4 years ago

3 0

Number 6 would be 3(x-2) because when u distribute the 3 to (x-2) your answer will be 9x-6

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X + y = −2

gavmur [86]

The first one would be correct!

You can solve simultaneously to find the intersection of the lines. Or use the substitution method,

I used the substitution method where I made X the subject in the first method so I got X = -2 +y

use this x to replace it in the second equation
y= 2(-2 + y ) +10
therfore y = 2

to find x coordinate, substitute y in any equation to get x = - 4

so the points of intersection is (-4, 2)

Hope this helped! :)

3 0

4 years ago

Determine if the solution set for the system of equations shown is the empty set, contains one point or is infinite.

PolarNik [594]

Answer:

one point

Step-by-step explanation:

A system of two linear equations will have one point in the solution set if the slopes of the lines are different.

When the equations are written in the same form, the ratio of x-coefficient to y-coefficient is related to the slope. It will be different if there is one solution.

ratio for first equation: 1/1 = 1
ratio for second equation: 1/-1 = -1

These lines have different slopes, so there is one solution to the system of equations.

_____

Additional comment

When the equations are in slope-intercept form with the y-coefficient equal to 1, the x-coefficient is the slope.

y = mx +b . . . . . slope = m

When the equations are in standard form (as in this problem), the ratio of x- to y-coefficient is the opposite of the slope.

ax +by = c . . . . . slope = -a/b

As long as the equations are in the same form, the slopes can be compared by comparing the ratios of coefficients.

If the slopes are the same, the lines may be either parallel (empty solution set) or coincident (infinite solution set). When the equations are in the same form with reduced coefficients, the lines will be coincident if they are the same equation.

8 0

2 years ago

a large cheese pizza coast $7.50. each additional topping for the pizza costs $1.35. if the total bill for the pizza sally order

Orlov [11]

Answer:

She ordered 4 toppings.

Step-by-step explanation:

7.5+1.35x=12.90

1.35x=12.9-7.5

1.35x=5.4

x=5.4/1.35

x=4