Answer:
x = 1
, y = 2
Step-by-step explanation:
Solve the following system:
{2 x - 3 y = -4
x + 3 y = 7
Hint: | Choose an equation and a variable to solve for.
In the second equation, look to solve for x:
{2 x - 3 y = -4
x + 3 y = 7
Hint: | Solve for x.
Subtract 3 y from both sides:
{2 x - 3 y = -4
x = 7 - 3 y
Hint: | Perform a substitution.
Substitute x = 7 - 3 y into the first equation:
{2 (7 - 3 y) - 3 y = -4
x = 7 - 3 y
Hint: | Expand the left hand side of the equation 2 (7 - 3 y) - 3 y = -4.
2 (7 - 3 y) - 3 y = (14 - 6 y) - 3 y = 14 - 9 y:
{14 - 9 y = -4
x = 7 - 3 y
Hint: | Choose an equation and a variable to solve for.
In the first equation, look to solve for y:
{14 - 9 y = -4
x = 7 - 3 y
Hint: | Isolate terms with y to the left hand side.
Subtract 14 from both sides:
{-9 y = -18
x = 7 - 3 y
Hint: | Solve for y.
Divide both sides by -9:
{y = 2
x = 7 - 3 y
Hint: | Perform a back substitution.
Substitute y = 2 into the second equation:
{y = 2
x = 1
Hint: | Sort results.
Collect results in alphabetical order:
Answer: {x = 1
, y = 2
Answer:
Part 1) Vertical line : ![x=1](https://tex.z-dn.net/?f=x%3D1)
Part 2) Horizontal line : ![y=-4](https://tex.z-dn.net/?f=y%3D-4)
Step-by-step explanation:
Part 1) Write the equation for the vertical line passing through the point (1,-4)
we know that
The equation of a vertical line (parallel to the y-axis) is equal to the x-coordinate of the point that passes through it
so
The x-coordinate is 1
therefore
The equation of the line is
![x=1](https://tex.z-dn.net/?f=x%3D1)
Part 2) Write the equation for the horizontal line passing through the point (1,-4)
we know that
The equation of a horizontal line (parallel to the x-axis) is equal to the y-coordinate of the point that passes through it
so
The y-coordinate is -4
therefore
The equation of the line is
![y=-4](https://tex.z-dn.net/?f=y%3D-4)
Answer:
Step-by-step explanation:
In triangle ABC, the measure of angle B is 13 more than the measure of angle A, and the measure of angle C is 9 less than twice the measure of angle A. Find the measure of each angle
1 out of 2 outcomes ! i hope i helped !
Your supposed to use sin= op over hypotenuse, coh= adjacent over hypotenuse , and tan= opposite over adjacent
4. For this you would use tan b/c the angle is opposite the degree and you have no hypotenuse. Equation will be tan30/1 = radical 6/x. And solve
3. Would be using sin with the equation
Sin45/1 = 7 radical 6/2 over x