26? i need a little bit of understanding

26. Two pizzas and four sandwiches cost $62. Four pizzas and ten sandwiches cost $140. How much does each pizza and sandwich cost?

First, set up equations
2p + 4s = 62
4 p + 10s = 140

Then, cancel out one variable by multiplication or division
-2(2p + 4s = 62) --> -4p - 8s = -124
4p + 10s = 140 --> 4p  + 10s = 140

Next, solve for the other variable
-4p - 8s = -124
4p  + 10s = 140
0p + 2s = 16
s = 8

Then, solve for the other variable by putting the found variable into either given equation.
2p + 4s = 62
2p + 4(8) = 62
2p + 32 = 62
2p = 30
p = 15

So it is $15 for a pizza and $8 for a sandwich. Hope this helps!

Intersecting secant-tangent theorem states that if a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.so to break it down: 1. pq acts as the tangent and ps as the secant with an intersection at p.sr = 21rp = 3x + 3pq = 4x + 4following to equation: tangent squared = the two segments multiplied by each otherso (4x + 4) ^ 2 = (3x + 3) • (21) simplifies to 16x^2 - 31x - 47 = 0 or (16x - 47)(x + 1) x = -1 or x = 47/162. pq acts as the tangent and ps as the secant with an intersection at p (again! )sr = 16rp = xpq = 15(15) ^ 2 = 16 • x225 = 16xx = 225/163. the interesting chords are proportional to each other so a ratio is possible to set up: ap dp 10 3 + x = = —— = pc pb 8 xcross multiple to get 10x = (3 + x)(8)x = 12