Answer: The ordered pair is (2,3)
Step-by-step explanation:
To solve this problem, we can use substitution. With substitution, we substitute the y in each problem with the equations. In this case, x + 1 can substitute the y in y = -x + 5. Here is what the problem looks like now:
x + 1 = -x + 5
The reason we used substitution is because we assume that these linear equations are equal. We must prove it, though. We can use algebra.
Move the variables to one side and the numerical values to another:
x + x = 5 - 1.
Simplify.
2x = 4
Simplify.
x = 2.
Now, we got our x value, we can substitute it into our problem:
y = 2 + 1
y + -2 + 5
2 + 1 = - 2 + 5 = 3
Our x is 2, and our y is 3. The ordered pair that is a solution is (2,3).
Each large box weighs 15 kilograms and each small box weighs 13.5 kilograms.
Step-by-step explanation:
Let,
Weight of large box = x
Weight of small box = y
According to given statement;
5x+2y=102 Eqn 1
3x+8y=153 Eqn 2
Multiyplying Eqn 1 by 4
Subtracting Eqn 2 from Eqn 3
Dividing both sides by 17
Putting x=15 in Eqn 2
Dividing both sides by 8
Each large box weighs 15 kilograms and each small box weighs 13.5 kilograms.
Keywords: linear equation, elimination method
Learn more about elimination method at:
#LearnwithBrainly
double every 6 months
in 6 months there would be 250*2 = 500 crickets
in 1 year there would be 500*2 = 1000 crickets
in 1.5 years there would be 1000 *2 = 2000 crickets
in 2 years there would be 2000 *2 = 4000 crickets
X^2 - 3x + 5
2^2 - 3(2) + 5
4 - 6 + 5
3
