Answer:
(x, y) = (5, 1)
Step-by-step explanation:
To <em>eliminate</em> x, you can double the second equation and subtract the first.
... 2(x +4y) -(2x -3y) = 2(9) -(7)
...11y = 11 . . . . . simplify
... y = 1 . . . . . . divide by 11
Using the second equation to find x, we have ...
... x + 4·1 = 9
... x = 5 . . . . . subtract 4
_____
<u>Check</u>
2·5 -3·1 = 10 -3 = 7 . . . . agrees with the first equation
(Since we used the second equation to find x, we know it will check.)
Equation in slope-intercept form is y = 2x - 6
Step-by-step explanation:
- Step 1: Given slope of the line, m = 2. Form an equation y = mx + b
⇒ y = 2x + b ---- (1)
- Step 2: The line passes through the point (4,2). So it will satisfy the equation. Find b by substituting x = 4 and y = 2.
⇒ 2 = 2 × 4 + b = 8 + b
⇒ b = -6
- Step 3: Form the slope-intercept equation.
⇒ y = 2x - 6
Let the admission price for adults be 'x' and that of children be 'y'
Equation Formation.
2 x + 3 y = 80............equation(i)
3 x + y = 99.............equation(ii)
y = 99 - 3 x
2 x + 3(99 - 3 x) =80
2 x +297 - 9 x = 80
- 7 x = -217
x = 31
y = 99 - 3x
y = 99 - 3×31
y = 99 - 93
y = 6
Answer ⇒ Adults = $31
Children = $6
Answer:
There are 9 000 000 = 9 million reptiles in the US.
Step-by-step explanation:
Percentages and ratio:
The double of a measure, for example, is 200% of the measure.
So 1000% of a measure is 10 times the measure.
There are 90 million pet dogs in the US. The number of dogs is 1000% the number of reptiles.
The number of pet dogs is 10 times the number of reptiles, which means that:
There are 9 000 000 = 9 million reptiles in the US.
