Answer:
For the first image, to find the value of x, we need to use the fact that the angles in a triangle add up to 180 degrees.
We can see that the angle measures for the two angles shown are x and 70 degrees. The third angle is not shown but is opposite the 85-degree side. So, we know that:
x + 70 + 35 = 180
Simplifying the equation, we get:
x = 75
Therefore, the value of x is 75 degrees.
For the second image, we can see that we have a system of two equations with two variables:
x + y = 8
2x - y = -1
We can solve for one of the variables in terms of the other by rearranging one of the equations. For example, from the first equation, we have:
y = 8 - x
We can substitute this expression for y into the second equation to get:
2x - (8 - x) = -1
Simplifying the equation, we get:
3x = 7
So, x = 7/3.
To find the value of y, we can substitute the value of x into either equation, for example:
x + y = 8
7/3 + y = 8
Simplifying the equation, we get:
y = 17/3
Therefore, the values of x and y are 7/3 and 17/3, respectively.