X^2 + y^2 = 8
X-y=0 so x = y
replace x = y into X^2 + y^2 = 8
y^2 + y^2 = 8
2y^2 = 8
y^2 = 8/2
y^2 = 4
y = - 2 and y = 2
because x = y
so x = - 2 and x = 2
solutions:
x= - 2 and x = + 2
y= - 2 and y = + 2
Answer: 3
Step-by-step explanation: i don't know how it explain it
6x+3y=6 and 8x+9y= -22 describes the outcomes of Clare and Noah.
Step-by-step explanation:
Let,
x represents the number of points for a goal.
y represents the number of points for a penalty.
Therefore,
6 goals = 6x
3 penalties = 3y
8 goals = 8x
9 penalties = 9y
According to given statment;
6x+3y=6 Eqn 1
8x+9y= -22 Eqn 2
6x+3y=6 and 8x+9y= -22 describes the outcomes of Clare and Noah.
Keywords: linear equation, variables
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Given:
1 Van and 4 buses filled with 195 students.
1 Van and 5 buses filled with 241 students.
Let x and y be the number of students in Van and number of students in bus.

Subtract equation (1) from equation (2)

Substitute y=46 in equation (1)

Number of students that van can carry is 11.
Number of students that bus can carry is 46
He would place 60 balloons in each room. First you subtract 13 from 313 and get 300. Then you divide 300 by 5 which brings you to the answer of 60 balloons per room.