Substitution
y = -3x - 6
-4x + 4y = 24
(-3, 3)
3x - 5y = -7, -3x - 5y = 17
(-4, -1)
y=4/3x+3, y=-x-4
(-3,-1)
There are 1528 students in a school. There are 116 more boys than girls. Find the number of girls and boys.
Girls: 706, Boys: 822
y = x + 1
3x - 8y = 22
(-6, -5)
2x - 7y = -7, -2x + 4y = -2
(7, 3)
y=x-1, y=-3/2x+4
(2,1)
The length of a rectangle is 5 cm more than twice the width. The perimeter is 112 cm. Find the length and the width.
Length: 39cm, Width: 17cm
y = -7x + 4, y = 7x + 4
(0, 4)
3x - 12y = -6, x + 6y = -12
(-6, -1)
y=4, y=-3x-2
(-2,4)
The difference of two numbers is 3. Their sum is 17. Find the numbers.
Smaller #: 7, Larger #10
y = -6x - 4, y = 4x + 6
(-1, 2)
-4x + 7y = 13, 8x - 14y = -26
Infinite Solutions
y=-1/2x-1, x=4
(4,-3)
Flying with the wind a plane went 302 mph. Flying into the same wind the plane only went 254 mph. Find the speed of the plane in still air and the speed of the wind.
Plane Speed w/o wind: 278 mph, Wind Speed: 24 mph
y = 2x - 17
4x - 2y = 34
Infinite Solutions
5x + 9y = 8
4x + 4y = 16
(7, -3)
y=5/2x+4, y=5/2x-2
No Solution
Kali and Alex each improved their yards by planting daylilies and ivy. They bought their supplies from the same store. Kali spent $39 on 3 daylilies and 2 pots of ivy. Alex spent $154 on 13 daylilies and 7 pots of ivy. Find the cost of one daylily and the cost of one pot of ivy.
Daylily: $7, Pot of Ivy: $9