1119/2
Equations may be true or false, just as word sentences may be true or false. The equation:
3 + x = 7
will be false if any number except 4 is substituted for the variable. The value of the variable for which the equation is true (4 in this example) is called the solution of the equation. We can determine whether or not a given number is a solution of a given equation by substituting the number in place of the variable and determining the truth or falsity of the result.
Example 1 Determine if the value 3 is a solution of the equation
4x - 2 = 3x + 1
Solution We substitute the value 3 for x in the equation and see if the left-hand member equals the right-hand member.
4(3) - 2 = 3(3) + 1
12 - 2 = 9 + 1
10 = 10
Ans. 3 is a solution.
The first-degree equations that we consider in this chapter have at most one solution. The solutions to many such equations can be determined by inspection.
Example 2 Find the solution of each equation by inspection.
a. x + 5 = 12
b. 4 · x = -20
Solutions a. 7 is the solution since 7 + 5 = 12.
b. -5 is the solution since 4(-5) = -20.
Answer:
Step-by-step explanation:
Equation: y=mx+b
m is the gradient while b is the y-intercept
Let's first find the slope (also known as the gradient) by choosing two points.
The formula to find the slope is change in y divided by change in x.
So two points are: (-2,0) and (0,5)
Change in y: 5-0 (we use the y-coordinates)
Change in x: 0--2 (0+2) (we use the x-coordinates)
So: 5-0= 5 and 0+2= 2 which means 5 divided by 2
Slope= 5 over two
To find the y-intercept we need to see where the line crosses the y-axis which would be at (0,5)
So: y-intercept is 5 as that's where the line crosses the y-axis.
Equation now: y= 5 over 2x +5
Answer:
If I entered it in correctly it would look something like this,,
Answer:
1. k + 2 (or other way around, it doesn't matter)
2. PY or P×Y
3. 10 - z
Step-by-step explanation:
1. You are adding here, so you add the two terms together.
2. If we had the amount of rulers and how much they cost, we could multiply to find these. Since we don't, we just leave the two variables to be multiplied.
3. It is asking the difference between two numbers, meaning that you need to subtract. With these types of problems, you always use the first number that appears in the problem to start the expression. For instance, if it had listed z first, then you would have done z - 10.
Answer:
i think the answer is 41
Step-by-step explanation:
because 25 +15=40+1=41 that's why i think its 41
