Answer:
(–19, 55)
Step-by-step explanation:
y = –3x – 2 equation 1
5x + 2y = 15 equation 2
using equation 1 in equation 2 we have:
5x + 2(–3x – 2) = 15
5x –6x – 4 = 15
-x = 15+4
x=-19
using equation 1:
y = -3(-19)- 2
y= 57-2
y= 55
4 outcomes,
Heads - Heads
Heads - Tails
Tails - Tails
Tails - Heads
With every coin added the amount of outcomes is multiplied by two
Answer: The length and width are 50 and 30 meters (or 30 and 50 meters).
Step-by-step explanation:
To solve this question, we can represent variables for the length and width in two equations.

To solve for one of the variables, you'll have to substitute one of the variables, so solve for one of them:


Now, we have a standard quadratic equation that we can factor. When factoring, you'll get this:

This tells us that the width could be either 50 or 30.
Substitute 50 into one of the equations to find the length:
2 (l) + 100 = 160
l = 30.
The length and width are 50 and 30 meters (or 30 and 50 meters).
Answer:
y = -3x + 4
Step-by-step explanation:
y = 4, this is where your line intersects with the y axis.
x = 1 is where your line is on the x axis (you want to include the part of the line that hits a point straight on, not one that goes past it.) So when it lands on the corner of the grids like the 4 for the y axis does, that is the point you are going to use.
Rise/Run is then your equation, so since you go down 3 and over 1 (counting from your y axis point), your slope is -3/1 or -3.
Then goes your y axis, so the final equation is
y= -3x + 4
I hope this helped!
1. Graphs help you solve equations, and equations help you solve graphs. Because <span>the graph is a diagram of the equation, showing at its simplest the y answer for each value of x.
2. </span>You have to solve for y, graph it, and then find where the lines intersect.You can take a table and put in all the x and y values. Then you graph it.. And see where it intersects because usually these equations are lines. Also you'd wanna solve for slope-intercept form(y = mx + b)