$\bf \begin{array}{llll}
-5x-y=5\\
-5x+y=5\\
-------\\
-10x+0=10
\end{array}\implies -10x=10\implies x=-1$

so if x = -1, let's plug that in the second equation

-5(-1)+y = 5
5+y = 5
y = 0

7 0

3 years ago

!!20 POINTS!! Claire filled up her car with gas before embarking on a road trip across the country. Let G represent the number o

pentagon [3]

Answer:

$G=-\frac{5}{4}t+15$

Slope = $-\frac{5}{4}$

Step-by-step explanation:

Let the equation representing the number of gallons left in the gas tank is,

G = mt + b

Where m = slope of the line

b = y-intercept of the line

Slope of the line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is,

'm' = $\frac{y_2-y_1}{x_2-x_1}$

Slope of the line passing through (8, 5) and (4, 10),

m = $\frac{10-5}{4-8}$

m = - $\frac{5}{4}$

Equation of line will be,

G = $-\frac{5}{4}t+b$

Since, point (8, 5) lies on this line,

5 = $-\frac{5}{4}(8)+b$

5 = -10 + b

b = 15

Therefore equation of the function will be,

G = $-\frac{5}{4}t+15$

Here slope of the function represents the $\frac{5}{4}$ gallons of gas is consumed to drive the car for one hour.

4 0

3 years ago