Use substitution to solve the linear system of equations and
determine how many chickens, x, and pigs, y there are.
Express the solution as an ordered pair (x,y).
Answer:
(6, 7)
Step-by-step explanation:
x+y= 13
2x+4y= 40 ⇒ x+2y = 20 ⇒ 13-y +2y= 20 ⇒ y= 20-13= 7
x= 13-y= 13-7= 6
chickens= 6
pigs= 7
To solve the problem, set up a system of equations using the given information. Solve one equation for a variable and substitute it into the other equation to find the values of the variables. Determine the number of chickens and pigs in the barn. The solution is (6, 7).
To solve this problem, we can set up a system of equations based on the given information. Let x represent the number of chickens and y represent the number of pigs. From the information given, we can write two equations: x + y = 13 (equation 1) and 2x + 4y = 40 (equation 2).
Using substitution, we can solve equation 1 for x and substitute it into equation 2:
Equation 1:
x + y = 13
x = 13 - y
Equation 2:
2(13 - y) + 4y = 40
26 - 2y + 4y = 40
2y = 14
y = 7
Now, substitute the value of y back into equation 1 to find x:
x + 7 = 13
x = 6
Therefore, there are 6 chickens and 7 pigs in the barn, which can be expressed as the ordered pair (6, 7).
#SPJ13
1 mile = 5280 feet
1 hour = 3600 seconds
60 mil./h = 60 * 5280/ 3600 ft/s = 88 ft/s
I say BC
Answer:
BC is correct
Step-by-step explanation:
The diameter is a line drawn from one point on the circumference (C), through the centre (A) to the point (B) opposite point C
Hence diameter is BC
y=-2x+8
y=1/2x
y=-3/4x-1
y=x+5
please show work step by step for each.
1. The equations in this example are already set equal to "y". Identify the slope and y-intercept in each equation. Remember: y = mx + b, where m = slope and b = y-intercept.
y = 2x + 1
slope = 2
y-intercept = 1
y = -x + 7
slope = -1
y-intercept = 7
2. Graph the lines.
This example used the slope-intercept method of graphing straight lines.
The b-value tells you where the line crosses the y-axis.
The slope, m, tells you the rise over the run.
If you need help graphing lines, see Graphing Linear Equations.
Find the intersection point (where the lines cross).
These lines cross at the point (2,5).
This means the solution to this system is:
Solution: x = 2 and y = 5.
graph1
3. CHECK: Substitute x = 2 and y = 5 into BOTH of the original equations. If your solutions are correct, both equations will be true!
y = 2x + 1
5 = 2(2) + 1
5 = 5 (check)
y = -x + 7
5 = -(2) + 7
5 = 5 (check)
Hey, Divabetty0725!
8 15(Cross multiplication)
2 3
5 4
3/4 is bigger than 2/5.