Answer: OPTION A
Step-by-step explanation:
The equation of the line in slope-intercept form is:
Where m is the slope and b the y-intercept.
Solve for y from each equation:
As you can see the slope and the y-intercept of each equation are equal, this means that both are the exact same line. Therefore, you can conclude that the system has infinitely many solutions.
Answer:
Step-by-step explanation:
It is hard to guess the coordinates of any points, because the graph doesn't go through any intersections of the grid.
Fortunately, I can tell that the axis of symmetry is x=2.
Put the equation into vertex form by completing the square.
axis of symmetry = b/2
b/2 = 2
b = 4
Step-by-step explanation:
✓2 × ✓2 = ✓2×2 = ✓4 = 2
✓5 × ✓7 = ✓5×7 = ✓35
✓2 × ✓18 = ✓2×18 = ✓36 = 6
✓2 × ✓6 = ✓2×6 = ✓12 = ✓4 ×✓3 = 2✓3
Step-by-step explanation:
<u>Step 1: Substitute x from the second equation into the second one</u>
<u>Step 2: Substitute y into the second equation</u>
Answer:
Make an equation system based on the problem
eg. a is the first number and b is the seond number
An equation for "<span>The sum of two numbers is 53" is
</span>⇒ a + b = 53
An equation for "<span>twice the first number minus three times the second number is 26"
</span>⇒ 2a - 3b = 26
<span>
Solve the equations by elimination and subtitution method
Eliminate a to find the value of b
a + b = 53 (multiplied by 2)
2a - 3b = 26
--------------------------------------
2a + 2b = 106
2a - 3b = 26
------------------- - (substract)
5b = 80
b = 80/5
b = 16
Subtitute the value of b to one of the equations
a + b = 53
a + 16 = 53
a = 53 - 16
a = 37
The numbers are 16 and 37</span>