(PLEASE HELP!) Write and solve a system of two linear equations with the defined variables to solve the given problem.
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During the month of April, a homeowner used 770 units of electricity (x) and 90 units of natural gas (y) for a total combined utility bill of $210. In May, 830 units of electricity and 45 units of gas were used at a combined cost of $171.75. If the unit cost for each type of energy remained constant for both months, find the unit cost for each energy source.

Line segment eg is partitioned by point f in the ratio 1: 1. point e is at e (0, 4), and point f is at (1, 3). what are the coordinates of point g? (−1, 5) (2, 2) (3, 1) (4, 0)

Which of the following is closest to 32.9 x 7.5? a: 232 b: 259 c: 220 d: 265

Ican interpret and represent the remainder in division calculations sensibly for the context (eg if we wont to know how many 40 seat buses will be needed to transport 170 students for on excursion, we divide 170 by 40 and realise buses and another smaller vehicle to that we need 4 transport 10 more students) solve the following questions. show your work! 11) the zoo had 420 butterflies that needed to be transported to a new enclosure. the boxes that the butterflies would be moved in only hold 80 butterflies in each. how many boxes would they need? 2 12) each classroom in the school can have exactly 25 students, if there are 345 students in the school how many full classrooms are there?