9. (07.03 MC) What is the solution to the following equation? 5(2x – 14) + 23 = 7x - 14
2 answers:
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The value of the expression a - b + c + d will be 7.
<h3>What is the matrix?</h3>A matrix is a specific arrangement of items, particularly numbers. A matrix is a row-and-column mathematical structure. The a_{ij} element in a matrix, such as M, refers to the i-th row and j-th column element.
The system of equations are given below.
5x + 7y = 7
3x - 2y = 9
Then the equations can be written in the form of matrix. Then we have
Then the value of a, b, c, and d will be
a = 5, b = 3, c = 7, and d = -2
Then the value of the expression will be
a - b + c + d = 5 - 3 + 7 - 2
a - b + c + d = 12 - 5
a - b + c + d = 7
More about the matrix link is given below.
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The equations are in slope intercept form which is
y = mx+b
m is the slope of the equation. slope is rise/ run meaning that if a slope is 2, you can also say 2/1. this means you go up 2 squares and to the right 1 point. if the slope is negative, it looks like a downhill and the line falls left to right. if the slope is positive, it looks like uphill and the line falls right to left.
the x is what the slope is multiplied by but isn’t significant in graphing because it’s always just x
the b represents the y intercept. the y axis is the vertical line on the graph. for example if b = 7, then the line goes through 7 on the graph and basically tells us that (0,7) is a point on the line.
for y= x + 7, the slope is 1. that equation is just saying y= 1x+7 but the one is unnecessary usually because it’s implied that the x means 1x
i attached a picture of the graphed lines
y = mx+b
m is the slope of the equation. slope is rise/ run meaning that if a slope is 2, you can also say 2/1. this means you go up 2 squares and to the right 1 point. if the slope is negative, it looks like a downhill and the line falls left to right. if the slope is positive, it looks like uphill and the line falls right to left.
the x is what the slope is multiplied by but isn’t significant in graphing because it’s always just x
the b represents the y intercept. the y axis is the vertical line on the graph. for example if b = 7, then the line goes through 7 on the graph and basically tells us that (0,7) is a point on the line.
for y= x + 7, the slope is 1. that equation is just saying y= 1x+7 but the one is unnecessary usually because it’s implied that the x means 1x
i attached a picture of the graphed lines