The values of x and y that satisfy this system of equations are 10 and 5 respectively
<h3>Simultaneous equation</h3>
Given the system of equations
x + y = 20
3x - 3y = 30
_____________________
x + y = 20
x - y = 10
Add the equations
2x = 20 + 10
2x = 30
x = 30/2
x = 15
Substitute
x -y = 10
15 - y = 10
y = 5
Hence the values of x and y that satisfy this system of equations are 10 and 5 respectively
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Answer:
Praiya lol
Step-by-step explanation:
Han ran 10 meters in 2.7 secs. Priya ran 10 in 2.4 secs. Do the math
Answer:
52degrees
Step-by-step explanation:
Let the measure of the largest angle be x
middle angle be y
smallest angle be z
Since the sum of angle in a triangle is 180 degrees, hence;
x + y + z = 180 .... 1
If the measure of the largest angle is 32 less than 3 times the smallest angle, then;
x = 3z - 32
3z = x+ 32
z = x+32/3 ..... 2
If he measure of the middle angle is 8 more than half the measure of the largest angle, then;
y = x/2 + 8 .... 3
Substitute 2 and 3 into 1;
x + x/2 + 8 + (x+32)/3 = 180
multiply through by 6
6x + 3x + 48 + 2(x+32) = 1080
9x + 48 + 2x + 64 = 1080
11x + 112 = 1080
11x = 1080-112
11x = 968
x = 968/11
x = 88 degrees
Get the middle angle y;
Since y = x/2 + 8
y = 88/2 + 8
y = 44 + 8
y = 52 degrees
Hence the measure of the middle angle is 52degrees
(f+g)(x)=5x-6+x^2-4x-8
A.(f+g)(x)=x^2+x-14 is correct:)
Answer:she made 12 two points basket.
Step-by-step explanation:
Let x represent the number of baskets that were worth two points.
Let y represent the number of baskets that were worth three points.
Anaya makes 14 baskets during her game.
This means that
x + y = 14
Some of these baskets were worth two points and others were worth three points. In total she scored 30 points. His means that
2x + 3y = 30 - - - - - - - - - -1
Substituting x = 14 - y into equation 1, it becomes
2(14 - y) + 3y = 30
28 - 2y + 3y = 30
- 2y + 3y = 30 - 28
y = 2
Substituting y = 2 into x = 14 - y, it becomes
x = 14 - 2
x = 12